„[T]he formalist school, of whom the most eminent representative is Hilbert, have concentrated on the propositions of mathematics, such as '2 + 2 = 4'. They have pronounced these to be meaningless formulae to be manipulated according to arbitrary rules, and they hold that mathematical knowledge consists in knowing what formulae can be derived from what others consistently with the rules…. for example…'2' is a meaningless mark occurring in these meaningless formulae. But… '2' occurs not only in '2 + 2 = 4', but also in 'It is 2 miles to the station', which is not a meaningless formulae, but a significant proposition, in which '2' cannot conceivably be a meaningless mark.“

The Foundations of Mathematics (1925)

Última atualização 22 de Maio de 2020. História
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Frank P. Ramsey
1903 - 1930

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„The stages of human development are to strive for:
(1) Besitz [Possession]
(2) Wissen [Knowledge]
(3) Können [Ability]
(4) Sein“

—  Erwin Schrödinger Austrian physicist 1887 - 1961

Being
Writings of August 1918, quoted in A Life of Erwin Schrödinger (1994) by Walter Moore

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„Theorem I. Any sight of which seeing has not informed me of, is unknown to me. Comments. 1. Sensible knowledge discriminated from intellectual knowledge. 2. The intellectual injury from the privation of any sense.“

—  Alexander Bryan Johnson United States philosopher and banker 1786 - 1867

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„If all men by nature desire to know, then they desire most of all the greatest knowledge of science. So the Philosopher argues in chap. 2 of his first book of the work [Metaphisics]. And he immediately indicates what the greatest science is, namely the science which is about those things that are most knowable. But there are two senses in which things are said to be maximally knowable: either [1] because they are the first of all things known and without them nothing else can be known; or [2] because they are what are known most certainly. In either way, however, this science is about the most knowable. Therefore, this most of all is a science and, consequently, most desirable…“

—  Duns Scotus Scottish Franciscan friar, philosopher and Catholic blessed 1265 - 1308

sic: si omnes homines natura scire desiderant, ergo maxime scientiam maxime desiderabunt. Ita arguit Philosophus I huius cap. 2. Et ibidem subdit: "quae sit maxime scientia, illa scilicet quae est circa maxime scibilia".
Maxime autem dicuntur scibilia dupliciter: uel quia primo omnium sciuntur sine quibus non possunt alia sciri; uel quia sunt certissima cognoscibilia. Utroque autem modo considerat ista scientia maxime scibilia. Haec igitur est maxime scientia, et per consequens maxime desiderabilis.
Quaestiones subtilissimae de metaphysicam Aristotelis, as translated in: William A. Frank, Allan Bernard Wolter (1995) Duns Scotus, metaphysician. p. 18-19
Original: (la) sic: si omnes homines natura scire desiderant, ergo maxime scientiam maxime desiderabunt. Ita arguit Philosophus I huius cap. 2. Et ibidem subdit: "quae sit maxime scientia, illa scilicet quae est circa maxime scibilia". Maxime autem dicuntur scibilia dupliciter: uel quia primo omnium sciuntur sine quibus non possunt alia sciri; uel quia sunt certissima cognoscibilia. Utroque autem modo considerat ista scientia maxime scibilia. Haec igitur est maxime scientia, et per consequens maxime desiderabilis.

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„The only absolute knowledge attainable by man is that life is meaningless.“

—  Leo Tolstoy, livro A Confession

Fonte: Confession (1882), Ch. 5, translated by David Patterson, 1983
Fonte: A Confession

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„I presume that to the uninitiated the formulae will appear cold and cheerless; but let it be remembered that, like other mathematical formulae, they find their origin in the divine source of all geometry.“

—  Benjamin Peirce, Linear Associative Algebra

Preface.
Linear Associative Algebra (1882)
Contexto: I presume that to the uninitiated the formulae will appear cold and cheerless; but let it be remembered that, like other mathematical formulae, they find their origin in the divine source of all geometry. Whether I shall have the satisfaction of taking part in their exposition, or whether that will remain for some more profound expositor, will be seen in the future.

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„I believe that no one who is familiar, either with mathematical advances in other fields, or with the range of special biological conditions to be considered, would ever conceive that everything could be summed up in a single mathematical formula, however complex.“

—  Ronald Fisher English statistician, evolutionary biologist, geneticist, and eugenicist 1890 - 1962

The evolutionary modification of genetic phenomena. Proceedings of the 6th International Congress of Genetics 1, 165-72, 1932.
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„Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Etiam egestas wisi a erat. Morbi imperdiet, mauris ac auctor dictum.“