Celebrating 17 Years on the Web
Find science on or your birthday

Today in Science History - Quickie Quiz
Who said: “Nature does nothing in vain when less will serve; for Nature is pleased with simplicity and affects not the pomp of superfluous causes.”
more quiz questions >>
Home > Dictionary of Science Quotations > Scientist Names Index L > Pierre-Simon Laplace Quotes

Thumbnail of Pierre-Simon Laplace (source)
Pierre-Simon Laplace
(23 Mar 1749 - 5 Mar 1827)

French mathematician, physicist, statistician and astronomer , known for his exact approach to science, who developed mathematical probability theory and suggested the name 'meter' as the metric unit measurement.

Science Quotes by Pierre-Simon Laplace (31 quotes)

>> Click for Pierre-Simon Laplace Quotes on | Analysis | Biography | Cause | Chance | Ignorance | Knowledge | Law | Mathematics | Nature | Observation | Phenomenon | Probability | Theory |

...by shortening the labours doubled the life of the astronomer.
On the benefit of Napier's logarithms.
— Pierre-Simon Laplace
Quoted in H. Eves, In Mathematical Circles (1969).
Science quotes on:  |  Astronomer (41)  |  Logarithm (3)  |  John Napier (2)

Ce que nous connaissons est peu de chose; ce que nous ignorons est immense.
What we know is not much. What we do not know is immense.
Commonly said to be his last words. However, different true last words are stated by Augustus De Morgan.
— Pierre-Simon Laplace
Quoted in Augustus De Morgan, Budget of Paradoxes (1915), Vol. 2, 3.
Science quotes on:  |  Biography (212)  |  Last Word (8)

L'homme ne poursuit que des chimères.
Man follows only phantoms.
His true last words, according to Augustus De Morgan.
— Pierre-Simon Laplace
Quoted in Augustus De Morgan, Budget of Paradoxes (1915), Vol. 2, 3.
Science quotes on:  |  Biography (212)  |  Last Word (8)

Lisez Euler, lisez Euler, c'est notre maître à tous.
(Read Euler, read Euler, he is our master in everything.)
— Pierre-Simon Laplace
Quoted in Petr Beckmann, A History of Pi, 157.
Science quotes on:  |  Biography (212)  |  Leonhard Euler (9)

Tous les effets de la nature ne sont que résultats mathématiques d'un petit noinbre de lois immuables.
All the effects of Nature are only the mathematical consequences of a small number of immutable laws.
— Pierre-Simon Laplace
From the original French in Oeuvres de Laplace, Vol. VII: Théorie des probabilités (1847), Introduction, cliv.
Science quotes on:  |  Law (343)  |  Mathematics (484)

Une intelligence qui, pour un instant donné, connaîtrait toutes les forces dont la nature est animée, et la situation respective des êtres qui la composent, si d’ailleurs elle était assez vaste pour soumettre ces données a l’analyse, embrasserait dans la même formula les mouvements des plus grand corps de l’univers et ceux du plus léger atome: rien ne serait incertain pour elle, et l’avenir comme le passé serait présent à ses yeux.
Given for one instant an intelligence which could comprehend all the forces by which nature is animated and the respective situation of the beings which compose it—an intelligence sufficiently vast to submit these data to analysis, it would embrace in the same formula the movements of the greatest bodies in the universe and those of the lightest atom; to it nothing would be uncertain, and the future as the past would be present to its eyes.
— Pierre-Simon Laplace
Introduction to Oeuvres vol. VII, Theorie Analytique de Probabilites (1812-1820). As translated by Frederick Wilson Truscott and ‎Frederick Lincoln Emory in A Philosophical Essay on Probabilities (1902), 4. [LaPlace is here expressing his belief in causal determinism.]
Science quotes on:  |  Law (343)  |  Mathematics (484)

Here I shall present, without using Analysis [mathematics], the principles and general results of the Théorie, applying them to the most important questions of life, which are indeed, for the most part, only problems in probability. One may even say, strictly speaking, that almost all our knowledge is only probable; and in the small number of things that we are able to know with certainty, in the mathematical sciences themselves, the principal means of arriving at the truth—induction and analogy—are based on probabilities, so that the whole system of human knowledge is tied up with the theory set out in this essay.
— Pierre-Simon Laplace
Philosophical Essay on Probabilities (1814), 5th edition (1825), trans. Andrew I. Dale (1995), 1.
Science quotes on:  |  Analogy (38)  |  Analysis (105)  |  Certainty (83)  |  Importance (158)  |  Induction (36)  |  Knowledge (928)  |  Life (642)  |  Mathematics (484)  |  Principle (164)  |  Probability (72)  |  Problem (250)  |  Question (224)  |  Result (180)  |  Theory (469)  |  Truth (591)

However, the small probability of a similar encounter [of the earth with a comet], can become very great in adding up over a huge sequence of centuries. It is easy to picture to oneself the effects of this impact upon the Earth. The axis and the motion of rotation changed; the seas abandoning their old position to throw themselves toward the new equator; a large part of men and animals drowned in this universal deluge, or destroyed by the violent tremor imparted to the terrestrial globe.
— Pierre-Simon Laplace
Exposition du Système du Monde, 2nd edition (1799), 208, trans. Ivor Grattan-Guinness.
Science quotes on:  |  Animal (232)  |  Axis (7)  |  Century (66)  |  Change (203)  |  Comet (34)  |  Deluge (7)  |  Destroy (32)  |  Drown (5)  |  Earth (356)  |  Encounter (10)  |  Equator (3)  |  Globe (28)  |  Impact (16)  |  Man (303)  |  Probability (72)  |  Rotation (5)  |  Sea (102)  |  Sequence (20)  |  Tremor (2)

I am particularly concerned to determine the probability of causes and results, as exhibited in events that occur in large numbers, and to investigate the laws according to which that probability approaches a limit in proportion to the repetition of events. That investigation deserves the attention of mathematicians because of the analysis required. It is primarily there that the approximation of formulas that are functions of large numbers has its most important applications. The investigation will benefit observers in identifying the mean to be chosen among the results of their observations and the probability of the errors still to be apprehended. Lastly, the investigation is one that deserves the attention of philosophers in showing how in the final analysis there is a regularity underlying the very things that seem to us to pertain entirely to chance, and in unveiling the hidden but constant causes on which that regularity depends. It is on the regularity of the main outcomes of events taken in large numbers that various institutions depend, such as annuities, tontines, and insurance policies. Questions about those subjects, as well as about inoculation with vaccine and decisions of electoral assemblies, present no further difficulty in the light of my theory. I limit myself here to resolving the most general of them, but the importance of these concerns in civil life, the moral considerations that complicate them, and the voluminous data that they presuppose require a separate work.
— Pierre-Simon Laplace
Philosophical Essay on Probabilities (1825), trans. Andrew I. Dale (1995), Introduction.
Science quotes on:  |  Analysis (105)  |  Application (92)  |  Approximation (13)  |  Cause (177)  |  Chance (103)  |  Complication (18)  |  Concern (43)  |  Data (78)  |  Determine (20)  |  Difficulty (99)  |  Error (183)  |  Event (66)  |  Formula (41)  |  Function (65)  |  Government (64)  |  Inoculation (7)  |  Institution (19)  |  Insurance (9)  |  Investigation (105)  |  Law (343)  |  Limit (46)  |  Mathematician (140)  |  Mean (17)  |  Morality (22)  |  Outcome (9)  |  Philosopher (97)  |  Probability (72)  |  Proportion (38)  |  Regularity (17)  |  Result (180)  |  Theory (469)  |  Vaccine (6)

I see with much pleasure that you are working on a large work on the integral Calculus [ ... ] The reconciliation of the methods which you are planning to make, serves to clarify them mutually, and what they have in common contains very often their true metaphysics; this is why that metaphysics is almost the last thing that one discovers. The spirit arrives at the results as if by instinct; it is only on reflecting upon the route that it and others have followed that it succeeds in generalising the methods and in discovering its metaphysics.
— Pierre-Simon Laplace
Letter to S. F. Lacroix, 1792. Quoted in S. F. Lacroix, Traité du calcul differentiel et du calcul integral (1797), Vol. 1, xxiv, trans. Ivor Grattan-Guinness.
Science quotes on:  |  Calculus (18)  |  Clarification (6)  |  Follow (32)  |  Generalization (22)  |  Instinct (41)  |  Integration (11)  |  Metaphysics (29)  |  Method (112)  |  Pleasure (78)  |  Reconciliation (6)  |  Route (5)  |  Spirit (75)

If an event can be produced by a number n of different causes, the probabilities of the existence of these causes, given the event (prises de l'événement), are to each other as the probabilities of the event, given the causes: and the probability of each cause is equal to the probability of the event, given that cause, divided by the sum of all the probabilities of the event, given each of the causes.
— Pierre-Simon Laplace
'Mémoire sur la Probabilité des Causes par les Événements' (1774). In Oeuvres complètes de Laplace, 14 Vols. (1843-1912), Vol. 8, 29, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 16.
Science quotes on:  |  Cause (177)  |  Chance (103)  |  Event (66)  |  Probability (72)

It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit. But its very simplicity and the great ease which it has lent to computations put our arithmetic in the first rank of useful inventions; and we shall appreciate the grandeur of the achievement the more when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity.
— Pierre-Simon Laplace
Quoted in Return to Mathematical Circles H. Eves (Boston 1988).
Science quotes on:  |  Archimedes (16)  |  Arithmetic (52)

It is interesting thus to follow the intellectual truths of analysis in the phenomena of nature. This correspondence, of which the system of the world will offer us numerous examples, makes one of the greatest charms attached to mathematical speculations.
— Pierre-Simon Laplace
Exposition du système du monde (1799)
Science quotes on:  |  Law (343)  |  Mathematics (484)

It is natural for man to relate the units of distance by which he travels to the dimensions of the globe that he inhabits. Thus, in moving about the earth, he may know by the simple denomination of distance its proportion to the whole circuit of the earth. This has the further advantage of making nautical and celestial measurements correspond. The navigator often needs to determine, one from the other, the distance he has traversed from the celestial arc lying between the zeniths at his point of departure and at his destination. It is important, therefore, that one of these magnitudes should be the expression of the other, with no difference except in the units. But to that end, the fundamental linear unit must be an aliquot part of the terrestrial meridian. ... Thus, the choice of the metre was reduced to that of the unity of angles.
— Pierre-Simon Laplace
Lecture at the École Normale to the Year III (Apr 1795), Oeuvres Completes de Laplace (1878-1912), Vol. 14, 141. In Charles Coulston Gillispie, Dictionary of Scientific Biography (1978), Vol. 15, 335.
Science quotes on:  |  Angle (12)  |  Arc (5)  |  Celestial (9)  |  Definition (116)  |  Earth (356)  |  Measurement (138)  |  Meridian (3)  |  Meter (5)  |  Navigator (3)  |  Unit (18)

It is remarkable that a science which began with the consideration of games of chance should have become the most important object of human knowledge.
— Pierre-Simon Laplace
Théorie Analytique des Probabilitiés. Quoted in Isaac Todhunter, History of the Mathematical Theory of Probability from the Time of Pascal to that of Laplace (1865),
Science quotes on:  |  Probability (72)

Napoleon: M. Laplace, they tell me you have written this large book [Système du Monde] on the system of the universe, and have never even mentioned its Creator.
Laplace: I have no need for this hypothesis. (Je n'avais pas besoin de cette hypothèse-là.)
— Pierre-Simon Laplace
Quoted in Augustus De Morgan, Budget of Paradoxes (1915), Vol. 2, 2-3.
Science quotes on:  |  Biography (212)  |  Hypothesis (194)

Nature laughs at the difficulties of integration.
— Pierre-Simon Laplace
Quoted in I. Gordon and S. Sorkin, The Armchair Science Reader (1959).
Science quotes on:  |  Integration (11)

Such is the advantage of a well constructed language that its simplified notation often becomes the source of profound theories.
— Pierre-Simon Laplace
Quoted in N. Rose, Mathematical Maxims and Minims (1988).
Science quotes on:  |  Notation (8)

The mind has its illusions as the sense of sight; and in the same manner that the sense of feeling corrects the latter, reflection and calculation correct the former.
— Pierre-Simon Laplace
A Philosophical Essay on Probabilities translated by F.W. Truscott and F.L. Emory (1902), 160.
Science quotes on:  |  Calculation (57)  |  Mind (372)

The present state of the system of nature is evidently a consequence of what is in the preceding moment, and if we conceive of an intelligence which at a given instant knew all the forces acting in nature and the position of every object in the universe—if endowed with a brain sufficiently vast to make all necessary calculations—could describe with a single formula the motions of the largest astronomical bodies and those of the smallest atoms. To such an intelligence, nothing would be uncertain; the future, like the past, would be an open book.
— Pierre-Simon Laplace
As quoted in The Fascination of Physics by Jacqueline D. Spears and Dean Zollman (1986). Alternate translation: “The present state of the system of nature is evidently a consequence of what is in the preceding moment, and if we conceive of an intelligence which at a given instant comprehends all the relations of the entities of this universe, it could state the respective positions, motions, and general effects of all these entities at any time in the past or future.” In Harry Woolf, The Analytic spirit: essays in the history of science in honor of Henry Guerlac (1981), 91, the author states that “the language Laplace used was obviously borrowed from Concdorset, though now the words were reshuffled to express a new idea.”

The present state of the system of nature is evidently a consequence of what it was in the preceding moment, and if we conceive of an intelligence that at a given instant comprehends all the relations of the entities of this universe, it could state the respective position, motions, and general affects of all these entities at any time in the past or future. Physical astronomy, the branch of knowledge that does the greatest honor to the human mind, gives us an idea, albeit imperfect, of what such an intelligence would be. The simplicity of the law by which the celestial bodies move, and the relations of their masses and distances, permit analysis to follow their motions up to a certain point; and in order to determine the state of the system of these great bodies in past or future centuries, it suffices for the mathematician that their position and their velocity be given by observation for any moment in time. Man owes that advantage to the power of the instrument he employs, and to the small number of relations that it embraces in its calculations. But ignorance of the different causes involved in the production of events, as well as their complexity, taken together with the imperfection of analysis, prevents our reaching the same certainty about the vast majority of phenomena. Thus there are things that are uncertain for us, things more or less probable, and we seek to compensate for the impossibility of knowing them by determining their different degrees of likelihood. So it was that we owe to the weakness of the human mind one of the most delicate and ingenious of mathematical theories, the science of chance or probability.
— Pierre-Simon Laplace
'Recherches, 1º, sur l'Intégration des Équations Différentielles aux Différences Finies, et sur leur Usage dans la Théorie des Hasards' (1773, published 1776). In Oeuvres complètes de Laplace, 14 Vols. (1843-1912), Vol. 8, 144-5, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 26.
Science quotes on:  |  Analysis (105)  |  Astronomy (140)  |  Calculation (57)  |  Celestial (9)  |  Certainty (83)  |  Chance (103)  |  Complexity (65)  |  Difference (175)  |  Distance (37)  |  Event (66)  |  Honour (22)  |  Human Mind (37)  |  Ignorance (151)  |  Impossibility (46)  |  Instrument (56)  |  Intelligence (103)  |  Knowledge (928)  |  Law (343)  |  Likelihood (7)  |  Mass (42)  |  Mathematician (140)  |  Motion (101)  |  Nature (721)  |  Observation (352)  |  Phenomenon (164)  |  Position (27)  |  Prediction (57)  |  Probability (72)  |  Relation (66)  |  Simplicity (113)  |  Theory (469)  |  Time (279)  |  Uncertainty (34)  |  Universe (374)  |  Velocity (10)  |  Weakness (17)

The simplicity of nature is not to be measured by that of our conceptions. Infinitely varied in its effects, nature is simple only in its causes, and its economy consists in producing a great number of phenomena, often very complicated, by means of a small number of general laws.
— Pierre-Simon Laplace
Philosophical Essay on Probabilities (1825), trans. Andrew I. Dale (1995), book 1, chap. 14.
Science quotes on:  |  Cause (177)  |  Complicated (22)  |  Conception (43)  |  Economy (34)  |  Effect (100)  |  Law (343)  |  Nature (721)  |  Phenomenon (164)  |  Simplicity (113)  |  Variation (42)

The theory of probabilities is at bottom nothing but common sense reduced to calculus; it enables us to appreciate with exactness that which accurate minds feel with a sort of instinct for which of times they are unable to account.
— Pierre-Simon Laplace
Introduction to Théorie Analytique des Probabilitiés
Science quotes on:  |  Common Sense (52)  |  Probability (72)

The theory of probabilities is at bottom only common sense reduced to calculation; it makes us appreciate with exactitude what reasonable minds feel by a sort of instinct, often without being able to account for it. … It is remarkable that [this] science, which originated in the consideration of games of chance, should have become the most important object of human knowledge.
— Pierre-Simon Laplace
From A Philosophical Essay on Probabilities. As given in epigraph, E.T. Bell, Men of Mathematics (2014), 71.
Science quotes on:  |  Account (26)  |  Appreciate (7)  |  Become (26)  |  Calculation (57)  |  Chance (103)  |  Common Sense (52)  |  Consideration (55)  |  Exactitude (5)  |  Feel (22)  |  Game (37)  |  Human (256)  |  Important (49)  |  Instinct (41)  |  Knowledge (928)  |  Mind (372)  |  Object (74)  |  Originate (4)  |  Probability (72)  |  Reasonable (11)  |  Reduce (15)  |  Remarkable (24)  |  Science (1194)  |  Sort (13)  |  Theory (469)

The theory of probabilities is basically only common sense reduced to a calculus. It makes one estimate accurately what right-minded people feel by a sort of instinct, often without being able to give a reason for it.
— Pierre-Simon Laplace
Philosophical Essay on Probabilities (1814), 5th edition (1825), trans. Andrew I. Dale (1995), 124.
Science quotes on:  |  Calculus (18)  |  Common Sense (52)  |  Estimate (13)  |  Instinct (41)  |  Probability (72)  |  Reason (224)  |  Theory (469)

The word 'chance' then expresses only our ignorance of the causes of the phenomena that we observe to occur and to succeed one another in no apparent order. Probability is relative in part to this ignorance, and in part to our knowledge.
— Pierre-Simon Laplace
'Mémoire sur les Approximations des Formules qui sont Fonctions de Très Grands Nombres' (1783, published 1786). In Oeuvres complète de Laplace, 14 Vols. (1843-1912), Vol. 10, 296, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 91.
Science quotes on:  |  Chance (103)  |  Ignorance (151)  |  Knowledge (928)  |  Observation (352)  |  Order (94)  |  Probability (72)

Thus the system of the world only oscillates around a mean state from which it never departs except by a very small quantity. By virtue of its constitution and the law of gravity, it enjoys a stability that can be destroyed only by foreign causes, and we are certain that their action is undetectable from the time of the most ancient observations until our own day. This stability in the system of the world, which assures its duration, is one of the most notable among all phenomena, in that it exhibits in the heavens the same intention to maintain order in the universe that nature has so admirably observed on earth for the sake of preserving individuals and perpetuating species.
— Pierre-Simon Laplace
'Sur l'Équation Séculaire de la Lune' (1786, published 1788). In Oeuvres complètes de Laplace, 14 Vols. (1843-1912), Vol. 11, 248-9, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 145.
Science quotes on:  |  Action (91)  |  Ancient (46)  |  Cause (177)  |  Certainty (83)  |  The Constitution of the United States (7)  |  Destroy (32)  |  Duration (7)  |  Exhibit (7)  |  Foreign (9)  |  Gravity (73)  |  Heaven (89)  |  Individual (92)  |  Intention (22)  |  Law (343)  |  Maintain (11)  |  Mean (17)  |  Nature (721)  |  Observation (352)  |  Order (94)  |  Oscillation (5)  |  Perpetuate (4)  |  Phenomenon (164)  |  Preservation (19)  |  Species (129)  |  Stability (9)  |  State (55)  |  System (94)  |  Time (279)  |  Undetectable (2)  |  Universe (374)  |  World (404)

We ought then to consider the present state of the universe as the effect of its previous state and as the cause of that which is to follow. An intelligence that, at a given instant, could comprehend all the forces by which nature is animated and the respective situation of the beings that make it up, if moreover it were vast enough to submit these data to analysis, would encompass in the same formula the movements of the greatest bodies of the universe and those of the lightest atoms. For such an intelligence nothing would be uncertain, and the future, like the past, would be open to its eyes.
— Pierre-Simon Laplace
Philosophical Essay on Probabilities (1814), 5th edition (1825), trans. Andrew I. Dale (1995), 2.
Science quotes on:  |  Analysis (105)  |  Animation (3)  |  Atom (204)  |  Cause (177)  |  Data (78)  |  Force (117)  |  Formula (41)  |  Future (156)  |  Intelligence (103)  |  Movement (44)  |  Nature (721)  |  Past (70)  |  State (55)  |  Uncertainty (34)  |  Universe (374)

Without any doubt, the regularity which astronomy shows us in the movements of the comets takes place in all phenomena. The trajectory of a simple molecule of air or vapour is regulated in a manner as certain as that of the planetary orbits; the only difference between them is that which is contributed by our ignorance. Probability is relative in part to this ignorance, and in part to our knowledge.
— Pierre-Simon Laplace
Philosophical Essay on Probabilities (1814), 5th edition (1825), trans. Andrew I. Dale (1995), 3.
Science quotes on:  |  Air (116)  |  Astronomy (140)  |  Comet (34)  |  Difference (175)  |  Doubt (85)  |  Ignorance (151)  |  Knowledge (928)  |  Molecule (101)  |  Movement (44)  |  Orbit (44)  |  Phenomenon (164)  |  Plant (131)  |  Probability (72)  |  Regularity (17)  |  Regulation (15)  |  Trajectory (3)  |  Vapour (8)

[It] may be laid down as a general rule that, if the result of a long series of precise observations approximates a simple relation so closely that the remaining difference is undetectable by observation and may be attributed to the errors to which they are liable, then this relation is probably that of nature.
— Pierre-Simon Laplace
'Mémoire sur les Inégalites Séculaires des Planètes et des Satellites' (I 785, published 1787). In Oeuvres completes de Laplace, 14 Vols. (1843-1912), Vol. 11, 57, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 130.
Science quotes on:  |  Approximation (13)  |  Attribute (15)  |  Difference (175)  |  Error (183)  |  Nature (721)  |  Observation (352)  |  Precision (30)  |  Relation (66)  |  Result (180)  |  Rule (86)  |  Series (27)  |  Simplicity (113)  |  Undetectable (2)

[Science] dissipates errors born of ignorance about our true relations with nature, errors the more damaging in that the social order should rest only on those relations. TRUTH! JUSTICE! Those are the immutable laws. Let us banish the dangerous maxim that it is sometimes useful to depart from them and to deceive or enslave mankind to assure its happiness.
— Pierre-Simon Laplace
Exposition du Système du Monde (1796), 2, 312, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 175.
Science quotes on:  |  Banish (3)  |  Damage (13)  |  Dangerous (20)  |  Deceive (2)  |  Error (183)  |  Ignorance (151)  |  Immutable (5)  |  Justice (14)  |  Law (343)  |  Mankind (144)  |  Maxim (8)  |  Nature (721)  |  Relationship (48)  |  Science (1194)  |  Social Order (3)  |  Truth (591)  |  Usefulness (65)

Quotes by others about Pierre-Simon Laplace (18)

To Laplace, on receiving a copy of the Mécanique Céleste:
The first six months ,which I can spare will be employed in reading it.
Correspondance de Napoléon ler, 27 vendémiaire an VIII [19 October 1799] no. 4384 (1861), Vol. 6, I. Trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 176.

Whenever I meet in Laplace with the words 'Thus it plainly appears', I am sure that hours and perhaps days, of hard study will alone enable me to discover how it plainly appears.
Mécanique céleste (1829-39), Celestial mechanics (1966).

The scientist who recognizes God knows only the God of Newton. To him the God imagined by Laplace and Comte is wholly inadequate. He feels that God is in nature, that the orderly ways in which nature works are themselves the manifestations of God's will and purpose. Its laws are his orderly way of working.
The Human Meaning of Science (1940), 69.
Science quotes on:  |  Isidore Auguste Marie François Xavier Comte (13)  |  God (288)  |  Nature (721)  |  Sir Isaac Newton (219)

In general I would be cautious against … plays of fancy and would not make way for their reception into scientific astronomy, which must have quite a different character. Laplace's cosmogenic hypotheses belong in that class. Indeed, I do not deny that I sometimes amuse myself in a similar manner, only I would never publish the stuff. My thoughts about the inhabitants of celestial bodies, for example, belong in that category. For my part, I am (contrary to the usual opinion) convinced ... that the larger the cosmic body, the smaller are the inhabitants and other products. For example, on the sun trees, which in the same ratio would be larger than ours, as the sun exceeds the earth in magnitude, would not be able to exist, for on account of the much greater weight on the surface of the sun, all branches would break themselves off, in so far as the materials are not of a sort entirely heterogeneous with those on earth.
Letter to Heinrich Schumacher (7 Nov 1847). Quoted in G. Waldo Dunnington, Carl Friedrich Gauss: Titan of Science (2004), 411.
Science quotes on:  |  Cosmology (13)  |  Gravity (73)

The influence of electricity in producing decompositions, although of inestimable value as an instrument of discovery in chemical inquiries, can hardly be said to have been applied to the practical purposes of life, until the same powerful genius [Davy] which detected the principle, applied it, by a singular felicity of reasoning, to arrest the corrosion of the copper-sheathing of vessels. … this was regarded as by Laplace as the greatest of Sir Humphry's discoveries.
Reflections on the Decline of Science in England (1830), 16.
Science quotes on:  |  Corrosion (3)  |  Sir Humphry Davy (43)  |  Electrolysis (7)  |  Invention (239)

The genius of Laplace was a perfect sledge hammer in bursting purely mathematical obstacles; but, like that useful instrument, it gave neither finish nor beauty to the results. In truth, in truism if the reader please, Laplace was neither Lagrange nor Euler, as every student is made to feel. The second is power and symmetry, the third power and simplicity; the first is power without either symmetry or simplicity. But, nevertheless, Laplace never attempted investigation of a subject without leaving upon it the marks of difficulties conquered: sometimes clumsily, sometimes indirectly, always without minuteness of design or arrangement of detail; but still, his end is obtained and the difficulty is conquered.
'Review of "Théorie Analytique des Probabilites" par M. le Marquis de Laplace, 3eme edition. Paris. 1820', Dublin Review (1837), 2, 348.
Science quotes on:  |  Beauty (127)  |  Clumsiness (2)  |  Design (69)  |  Detail (51)  |  Difficulty (99)  |  Leonhard Euler (9)  |  Genius (146)  |  Instrument (56)  |  Investigation (105)  |  Count Joseph-Louis de Lagrange (10)  |  Mathematics (484)  |  Obstacle (16)  |  Power (173)  |  Result (180)  |  Simplicity (113)  |  Sledge Hammer (2)  |  Student (94)  |  Symmetry (18)

Laplace would have found it child's-play to fix a ratio of progression in mathematical science between Descartes, Leibnitz, Newton and himself
The Education of Henry Adams: An Autobiography? (1918), 491.
Science quotes on:  |  René Descartes (36)  |  Gottfried Wilhelm Leibniz (25)  |  Mathematics (484)  |  Sir Isaac Newton (219)  |  Progress (263)  |  Series (27)

As far as I see, such a theory [of the primeval atom] remains entirely outside any metaphysical or religious question. It leaves the materialist free to deny any transcendental Being. He may keep, for the bottom of space-time, the same attitude of mind he has been able to adopt for events occurring in non-singular places in space-time. For the believer, it removes any attempt to familiarity with God, as were Laplace's chiquenaude or Jeans' finger. It is consonant with the wording of Isaiah speaking of the 'Hidden God' hidden even in the beginning of the universe ... Science has not to surrender in face of the Universe and when Pascal tries to infer the existence of God from the supposed infinitude of Nature, we may think that he is looking in the wrong direction.
'The Primeval atom Hypothesis and the Problem of Clusters of Galaxies', in R. Stoops (ed.), La Structure et l'Evolution de l'Univers (1958), 1-32. Trans. Helge Kragh, Cosmology and Controversy: The Historical Development of Two Theories of the Universe (1996), 60.
Science quotes on:  |  Atom (204)  |  Attitude (26)  |  Belief (234)  |  Bible (71)  |  Event (66)  |  Existence (188)  |  God (288)  |  Infinity (50)  |  Sir James Jeans (24)  |  Materialist (3)  |  Metaphysics (29)  |  Blaise Pascal (30)  |  Religion (140)  |  Space-Time (9)  |  Theory (469)  |  Transcendental (2)  |  Universe (374)

How did Biot arrive at the partial differential equation? [the heat conduction equation] . . . Perhaps Laplace gave Biot the equation and left him to sink or swim for a few years in trying to derive it. That would have been merely an instance of the way great mathematicians since the very beginnings of mathematical research have effortlessly maintained their superiority over ordinary mortals.
The Tragicomical History of Thermodynamics, 1822-1854 (1980), 51.
Science quotes on:  |  Biot_Jean (2)  |  Conduction (3)  |  Derive (8)  |  Differentiation (15)  |  Equation (59)  |  Mathematician (140)  |  Mortal (11)  |  Ordinary (29)  |  Research (413)  |  Sink (10)  |  Superiority (8)  |  Swim (6)  |  Thermodynamics (22)

Biot, who assisted Laplace in revising it [The Mécanique Céleste] for the press, says that Laplace himself was frequently unable to recover the details in the chain of reasoning, and if satisfied that the conclusions were correct, he was content to insert the constantly recurring formula, 'Il est àisé a voir' [it is easy to see].
History of Mathematics (3rd Ed., 1901), 427.
Science quotes on:  |  Anecdote (16)  |  Assist (3)  |  Biot_Jean (2)  |  Conclusion (95)  |  Content (26)  |  Correct (28)  |  Detail (51)  |  Easy (21)  |  Proof (164)  |  Reasoning (71)  |  Revise (4)  |  Satisfy (9)

The great masters of modern analysis are Lagrange, Laplace, and Gauss, who were contemporaries. It is interesting to note the marked contrast in their styles. Lagrange is perfect both in form and matter, he is careful to explain his procedure, and though his arguments are general they are easy to follow. Laplace on the other hand explains nothing, is indifferent to style, and, if satisfied that his results are correct, is content to leave them either with no proof or with a faulty one. Gauss is as exact and elegant as Lagrange, but even more difficult to follow than Laplace, for he removes every trace of the analysis by which he reached his results, and studies to give a proof which while rigorous shall be as concise and synthetical as possible.
History of Mathematics (3rd Ed., 1901), 468.
Science quotes on:  |  Analysis (105)  |  Anecdote (16)  |  Concise (2)  |  Contemporary (12)  |  Content (26)  |  Contrast (9)  |  Correct (28)  |  Difficult (28)  |  Easy (21)  |  Elegant (6)  |  Exact (29)  |  Explanation (133)  |  Faulty (2)  |  Carl Friedrich Gauss (53)  |  Count Joseph-Louis de Lagrange (10)  |  Leave (12)  |  Perfection (52)  |  Procedure (13)  |  Proof (164)  |  Reasoning (71)  |  Remove (7)  |  Result (180)  |  Rigor (9)  |  Satisfy (9)  |  Style (7)  |  Synthetic (7)

No one can read the history of astronomy without perceiving that Copernicus, Newton, Laplace, are not new men, or a new kind of men, but that Thales, Anaximenes, Hipparchus, Empodocles, Aristorchus, Pythagorus, Oenipodes, had anticipated them.
In The Conduct of Life (1904), 18.
Science quotes on:  |  Anaximenes (5)  |  Anticipation (8)  |  Astronomy (140)  |  Nicolaus Copernicus (35)  |  Hipparchus (3)  |  History (225)  |  History Of Astronomy (2)  |  Kind (47)  |  Man (303)  |  New (197)  |  Sir Isaac Newton (219)  |  Perception (32)  |  Thales (3)

The first effect of the mind growing cultivated is that processes once multiple get to be performed in a single act. Lazarus has called this the progressive “condensation” of thought. ... Steps really sink from sight. An advanced thinker sees the relations of his topics is such masses and so instantaneously that when he comes to explain to younger minds it is often hard ... Bowditch, who translated and annotated Laplace's Méchanique Céleste, said that whenever his author prefaced a proposition by the words “it is evident,” he knew that many hours of hard study lay before him.
In The Principles of Psychology (1918), Vol. 2, 369-370.
Science quotes on:  |  Act (43)  |  Advanced (7)  |  Nathaniel Bowditch (2)  |  Condensation (8)  |  Cultivation (19)  |  Effect (100)  |  Explanation (133)  |  Hard (32)  |  Mind (372)  |  Multiple (8)  |  Performance (21)  |  Preface (5)  |  Process (155)  |  Progressive (7)  |  Proposition (39)  |  Relation (66)  |  Sight (17)  |  Single (37)  |  Sink (10)  |  Sophistication (7)  |  Step (41)  |  Study (251)  |  Thinker (10)  |  Thought (245)  |  Topic (2)

Every complete set of chromosomes contains the full code; so there are, as a rule, two copies of the latter in the fertilized egg cell, which forms the earliest stage of the future individual. In calling the structure of the chromosome fibres a code-script we mean that the all-penetrating mind, once conceived by Laplace, to which every causal connection lay immediately open, could tell from their structure whether the egg would develop, under suitable conditions, into a black cock or into a speckled hen, into a fly or a maize plant, a rhododendron, a beetle, a mouse or a woman. To which we may add, that the appearances of the egg cells are very often remarkably similar; and even when they are not, as in the case of the comparatively gigantic eggs of birds and reptiles, the difference is not so much in the relevant structures as in the nutritive material which in these cases is added for obvious reasons.
But the term code-script is, of course, too narrow. The chromosome structures are at the same time instrumental in bringing about the development they foreshadow. They are law-code and executive power?or, to use another simile, they are architect's plan and builder’s craft-in one.
In What is Life? : The Physical Aspect of the Living Cell (1944), 20-21.
Science quotes on:  |  Appearance (66)  |  Architect (10)  |  Beetle (7)  |  Bird (79)  |  Builder (7)  |  Cause (177)  |  Cell (107)  |  Chromosome (16)  |  Cock (3)  |  Code (10)  |  Copy (8)  |  Development (181)  |  Egg (34)  |  Executive (3)  |  Fertilization (14)  |  Fly (47)  |  Foreshadow (2)  |  Hen (3)  |  Individual (92)  |  Mouse (22)  |  Narrow (23)  |  Plan (54)  |  Plant (131)  |  Reptile (19)  |  Similarity (17)  |  Simile (4)  |  Structure (145)  |  Woman (56)

There is no supernatural, there is only nature. Nature alone exists and contains all. All is. There is the part of nature that we perceive, and the part of nature that we do not perceive. … If you abandon these facts, beware; charlatans will light upon them, also the imbecile. There is no mean: science, or ignorance. If science does not want these facts, ignorance will take them up. You have refused to enlarge human intelligence, you augment human stupidity. When Laplace withdraws Cagliostro appears.
In Victor Hugo and Lorenzo O'Rourke (trans.) Victor Hugo's Intellectual Autobiography: (Postscriptum de ma vie) (1907), 320.
Science quotes on:  |  Abandon (25)  |  All (8)  |  Alone (23)  |  Augmentation (4)  |  Beware (6)  |  Charlatan (3)  |  Contain (12)  |  Enlargement (6)  |  Existence (188)  |  Fact (448)  |  Human (256)  |  Ignorance (151)  |  Imbecile (3)  |  Intelligence (103)  |  Mean (17)  |  Nature (721)  |  Perception (32)  |  Refusal (17)  |  Science (1194)  |  Stupidity (17)  |  Supernatural (14)

Laplace considers astronomy a science of observation, because we can only observe the movements of the planets; we cannot reach them, indeed, to alter their course and to experiment with them. “On earth,” said Laplace, “we make phenomena vary by experiments; in the sky, we carefully define all the phenomena presented to us by celestial motion.” Certain physicians call medicine a science of observations, because they wrongly think that experimentation is inapplicable to it.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 18. A footnote cites Laplace, Système du monde, Chap. 2.
Science quotes on:  |  Alteration (20)  |  Astronomy (140)  |  Call (21)  |  Carefully (6)  |  Celestial (9)  |  Course (36)  |  Defining (2)  |  Experiment (473)  |  Experimentation (3)  |  Inapplicable (2)  |  Medicine (238)  |  Motion (101)  |  Movement (44)  |  Nomenclature (124)  |  Observation (352)  |  Phenomenon (164)  |  Physician (202)  |  Planet (123)  |  Sky (48)  |  Variation (42)

There can be but one opinion as to the beauty and utility of this analysis of Laplace; but the manner in which it has been hitherto presented has seemed repulsive to the ablest mathematicians, and difficult to ordinary mathematical students.[Co-author with Peter Guthrie Tait.]
In William Thomson Baron Kelvin, Peter Guthrie Tait, Treatise on Natural Philosophy (1879), Vol. 1, Preface, vii.
Science quotes on:  |  Ability (54)  |  Analysis (105)  |  Beauty (127)  |  Difficult (28)  |  Mathematician (140)  |  Mathematics (484)  |  Opinion (108)  |  Ordinary (29)  |  Repulsive (6)  |  Student (94)  |  Utility (15)

Simple as the law of gravity now appears, and beautifully in accordance with all the observations of past and of present times, consider what it has cost of intellectual study. Copernicus, Galileo, Kepler, Euler, Lagrange, Laplace, all the great names which have exalted the character of man, by carrying out trains of reasoning unparalleled in every other science; these, and a host of others, each of whom might have been the Newton of another field, have all labored to work out, the consequences which resulted from that single law which he discovered. All that the human mind has produced—the brightest in genius, the most persevering in application, has been lavished on the details of the law of gravity.
in The Ninth Bridgewater Treatise: A Fragment (1838), 57.
Science quotes on:  |  Consequence (57)  |  Nicolaus Copernicus (35)  |  Discover (48)  |  Leonhard Euler (9)  |  Galileo Galilei (72)  |  Genius (146)  |  Gravity (73)  |  Human Mind (37)  |  Intellect (140)  |  Johannes Kepler (55)  |  Count Joseph-Louis de Lagrange (10)  |  Law (343)  |  Sir Isaac Newton (219)  |  Observation (352)  |  Reasoning (71)  |  Study (251)

See also:

Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
Quotations by:Albert EinsteinIsaac NewtonLord KelvinCharles DarwinSrinivasa RamanujanCarl SaganFlorence NightingaleThomas EdisonAristotleMarie CurieBenjamin FranklinWinston ChurchillGalileo GalileiSigmund FreudRobert BunsenLouis PasteurTheodore RooseveltAbraham LincolnRonald ReaganLeonardo DaVinciMichio KakuKarl PopperJohann GoetheRobert OppenheimerCharles Kettering  ... (more people)

Quotations about:Atomic  BombBiologyChemistryDeforestationEngineeringAnatomyAstronomyBacteriaBiochemistryBotanyConservationDinosaurEnvironmentFractalGeneticsGeologyHistory of ScienceInventionJupiterKnowledgeLoveMathematicsMeasurementMedicineNatural ResourceOrganic ChemistryPhysicsPhysicianQuantum TheoryResearchScience and ArtTeacherTechnologyUniverseVolcanoVirusWind PowerWomen ScientistsX-RaysYouthZoology  ... (more topics)
Sitewide search within all Today In Science History pages:
Custom Quotations Search - custom search within only our quotations pages:
Visit our Science and Scientist Quotations index for more Science Quotes from archaeologists, biologists, chemists, geologists, inventors and inventions, mathematicians, physicists, pioneers in medicine, science events and technology.

Names index: | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

Categories index: | 1 | 2 | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

who invites your feedback

- 100 -
Sophie Germain
Gertrude Elion
Ernest Rutherford
James Chadwick
Marcel Proust
William Harvey
Johann Goethe
John Keynes
Carl Gauss
Paul Feyerabend
- 90 -
Antoine Lavoisier
Lise Meitner
Charles Babbage
Ibn Khaldun
Ralph Emerson
Robert Bunsen
Frederick Banting
Andre Ampere
Winston Churchill
- 80 -
John Locke
Bronislaw Malinowski
Thomas Huxley
Alessandro Volta
Erwin Schrodinger
Wilhelm Roentgen
Louis Pasteur
Bertrand Russell
Jean Lamarck
- 70 -
Samuel Morse
John Wheeler
Nicolaus Copernicus
Robert Fulton
Pierre Laplace
Humphry Davy
Thomas Edison
Lord Kelvin
Theodore Roosevelt
Carolus Linnaeus
- 60 -
Francis Galton
Linus Pauling
Immanuel Kant
Martin Fischer
Robert Boyle
Karl Popper
Paul Dirac
James Watson
William Shakespeare
- 50 -
Stephen Hawking
Niels Bohr
Nikola Tesla
Rachel Carson
Max Planck
Henry Adams
Richard Dawkins
Werner Heisenberg
Alfred Wegener
John Dalton
- 40 -
Pierre Fermat
Edward Wilson
Johannes Kepler
Gustave Eiffel
Giordano Bruno
JJ Thomson
Thomas Kuhn
Leonardo DaVinci
David Hume
- 30 -
Andreas Vesalius
Rudolf Virchow
Richard Feynman
James Hutton
Alexander Fleming
Emile Durkheim
Benjamin Franklin
Robert Oppenheimer
Robert Hooke
Charles Kettering
- 20 -
Carl Sagan
James Maxwell
Marie Curie
Rene Descartes
Francis Crick
Michael Faraday
Srinivasa Ramanujan
Francis Bacon
Galileo Galilei
- 10 -
John Watson
Rosalind Franklin
Michio Kaku
Isaac Asimov
Charles Darwin
Sigmund Freud
Albert Einstein
Florence Nightingale
Isaac Newton

Thank you for sharing.
Today in Science History
Sign up for Newsletter
with quiz, quotes and more.