Today in Science History - Quickie Quiz
Self-Consistency Quotes (1 quote)
Mathematical reasoning is deductive in the sense that it is based upon definitions which, as far as the validity of the reasoning is concerned (apart from any existential import), needs only the test of self-consistency. Thus no external verification of definitions is required in mathematics, as long as it is considered merely as mathematics.
In Universal Algebra (1898), Preface, vi.
Science quotes on: | Base (120) | Concern (239) | Consider (428) | Consistency (31) | Deductive (13) | Definition (238) | Existential (3) | External (62) | Far (158) | Import (5) | Long (778) | Mathematics (1395) | Merely (315) | Nature Of Mathematics (80) | Need (320) | Reason (766) | Reasoning (212) | Require (229) | Required (108) | Self (268) | Sense (785) | Test (221) | Validity (50) | Verification (32)
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 Einstein •
Isaac Newton •
Lord Kelvin •
Charles Darwin •
Srinivasa Ramanujan •
Carl Sagan •
Florence Nightingale •
Thomas Edison •
Aristotle •
Marie Curie •
Benjamin Franklin •
Winston Churchill •
Galileo Galilei •
Sigmund Freud •
Robert Bunsen •
Louis Pasteur •
Theodore Roosevelt •
Abraham Lincoln •
Ronald Reagan •
Leonardo DaVinci •
Michio Kaku •
Karl Popper •
Johann Goethe •
Robert Oppenheimer •
Charles Kettering
... (more people)
Quotations about: • Atomic Bomb • Biology • Chemistry • Deforestation • Engineering • Anatomy • Astronomy • Bacteria • Biochemistry • Botany • Conservation • Dinosaur • Environment • Fractal • Genetics • Geology • History of Science • Invention • Jupiter • Knowledge • Love • Mathematics • Measurement • Medicine • Natural Resource • Organic Chemistry • Physics • Physician • Quantum Theory • Research • Science and Art • Teacher • Technology • Universe • Volcano • Virus • Wind Power • Women Scientists • X-Rays • Youth • Zoology ... (more topics)
Quotations about: • Atomic Bomb • Biology • Chemistry • Deforestation • Engineering • Anatomy • Astronomy • Bacteria • Biochemistry • Botany • Conservation • Dinosaur • Environment • Fractal • Genetics • Geology • History of Science • Invention • Jupiter • Knowledge • Love • Mathematics • Measurement • Medicine • Natural Resource • Organic Chemistry • Physics • Physician • Quantum Theory • Research • Science and Art • Teacher • Technology • Universe • Volcano • Virus • Wind Power • Women Scientists • X-Rays • Youth • Zoology ... (more topics)
Sitewide search within all Today In Science History 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 |
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 |
