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Who said: “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
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Home > Category Index for Science Quotations > Category Index P > Category: Perceptible

Perceptible Quotes (7 quotes)

In abstract mathematical theorems, the approximation to absolute truth is perfect. … In physical science, on the contrary, we treat of the least quantities which are perceptible.
In The Principles of Science: A Treatise on Logic and Scientific Method (1913), 478.
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It would not be difficult to come to an agreement as to what we understand by science. Science is the century-old endeavor to bring together by means of systematic thought the perceptible phenomena of this world into as thoroughgoing an association as possible. To put it boldly, it is the attempt at the posterior reconstruction of existence by the process of conceptualization. But when asking myself what religion is I cannot think of the answer so easily. And even after finding an answer which may satisfy me at this particular moment, I still remain convinced that I can never under any circumstances bring together, even to a slight extent, the thoughts of all those who have given this question serious consideration.
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Mathematical analysis is as extensive as nature itself; it defines all perceptible relations, measures times, spaces, forces, temperatures; this difficult science is formed slowly, but it preserves every principle which it has once acquired; it grows and strengthens itself incessantly in the midst of the many variations and errors of the human mind.
From Théorie Analytique de la Chaleur (1822), Discours Préliminaire, xiv, (Theory of Heat, Introduction), as translated by Alexander Freeman in The Analytical Theory of Heat (1878), 7. From the original French, “L’analyse mathématique est aussi étendue que la nature elle-même; elle définit tous les rapports sensibles, mesure les temps y les espaces, les forces, les températures; cette science difficile se forme avec lenteur, mais elle conserve tous les principes quelle a une fois acquis; elle s’accroît et s’affermit sans cesse au milieu de tant de variations et d’erreurs de l’esprit humain.”
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Note the saying of Protagoras that man is the measure of things. With the senses man measures perceptible things, with the intellect he measures intelligible things, and he attains unto supra-intelligible things transcendently
Dialog, 'De Beryllo' (1458). As translated in Jasper Hopkins, Complete Philosophical and Theological Treatises of Nicholas of Cusa: De visione Dei (2001), Vol. 2, 793.
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Our view is that there is a matter of the perceptible bodies, but that this is not separable but is always together with a contrariety, from which the so-called “elements” come to be.
Aristotle
As quoted in Christopher Shields, The Oxford Handbook of Aristotle (2012). 218.
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The discovery of truth by slow, progressive meditation is talent. Intuition of the truth, not preceded by perceptible meditation, is genius.
Aphorism 93 (1787), in Aphorisms on Man. Translated from the original manuscript of the Rev. John Caspar Lavater (3rd ed. 1790), 36.
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The most beautiful and profound experience for a person is the feeling of the mysterious. It underlies religion and all deeper endeavors in art and science. Anyone who has not experienced this appears to me, if not like a dead man, at least like a blind man. To feel that behind the perceptible is hidden something that is incomprehensible, whose beauty and grandeur only reach us indirectly and in a dim reflection—that is religiousness. In that sense I am religious. It is enough for me to sense these secrets with wonder and to try to humbly grasp a faint image of the majestic structure of all things.
From His 'Credo' on a manuscript in German (Aug 1932) which he read for a sound recording (c. end Sep/early Oct 1932) for limited distribution on a 20 cm, 75 rpm shellac disk, by order and to benefit of the German League of Human Rights. Manuscript held by the Albert Einstein Archives, Hebrew University of Jerusalem, Israel. Original text, in German, “Das Schönste und Tiefste, was der Mensch erleben kann, ist das Gefühl des Geheimnisvollen. Es liegt der Religion sowie allem tieferen Streben in Kunst und Wissenschaft zugrunde. Wer dies nicht erlebt hat, erscheint mir, wenn nicht wie ein Toter, so doch wie ein Blinder. Zu empfinden, dass hinter dem Erlebbaren ein für unseren Geist Unerreichbares verborgen sei, dessen Schönheit und Erhabenheit uns nur mittelbar und in schwachem Widerschein erreicht, das ist Religiosität. In diesem Sinne bin ich religiös. Es ist mir genug, diese Geheimnisse staunend zu ahnen und zu versuchen, von der erhabenen Struktur des Seienden in Demut ein mattes Abbild geistig zu erfassen.” Translated to English using Google Translate and other online tools—and tweaked by Webmaster.
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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
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