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Kurt Gödel cytaty

Kurt Gödel – austriacki logik i matematyk, autor twierdzeń z zakresu logiki matematycznej, współautor jednej z aksjomatyk teorii mnogości. Do najbardziej znanych osiągnięć matematycznych Gödla należą twierdzenia o niezupełności i niesprzeczności każdej aksjomatycznej teorii dedukcyjnej, która obejmuje arytmetykę liczb naturalnych.

Rezultaty Gödla zalicza się do największych osiągnięć logiki matematycznej i podstaw matematyki w historii. Gödel zajmował się również problemami ogólnej teorii względności – między innymi wyprowadził rozwiązania równania Einsteina, dopuszczające podróżowanie w czasie. W tamtym okresie uważano to za poważną wadę teorii. Einstein twierdził później, że wiedział o istnieniu takich rozwiązań od samego początku, ale ukrywał to, gdyż słusznie uważał, że inni fizycy nie zaakceptują teorii pozwalającej na podróże w czasie. Wikipedia  

✵ 28. Kwiecień 1906 – 14. Styczeń 1978
Kurt Gödel Fotografia
Kurt Gödel: 12 cytatów0 Polubień

Kurt Gödel: Cytaty po angielsku

“Our total reality and total existence are beautiful and meaningful…. We should judge reality by the little which we truly know of it. Since that part which conceptually we know fully turns out to be so beautiful, the real world of which we know so little should also be beautiful. Life may be miserable for seventy years and happy for a million years: the short period of misery may even be necessary for the whole.”

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Kurt Gödel

“The meaning of the world is the separation of wish and fact. Wish is a force as applied to thinking beings, to realize something. A fulfilled wish is a union of wish and fact. The meaning of the whole world is the separation and the union of fact and wish.”

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Kurt Gödel

As quoted in The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us (MIT Press) 2013 by Yanofsky, Noson S

“Either mathematics is too big for the human mind, or the human mind is more than a machine.”

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Kurt Gödel

As quoted in Topoi : The Categorial Analysis of Logic (1979) by Robert Goldblatt, p. 13

“Only someone who (like the Intuitionist) denies that the concepts and axioms of classical set theory have any meaning could be satisfied with such a solution, not someone who believes them to describe some well-determined reality. For in reality Cantor's conjecture must be either true or false, and its undecidability from the axioms as known today can only mean that these axioms do not contain a complete description of reality.”

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Kurt Gödel

“Ninety percent of [contemporary philosophers] see their principal task as that of beating religion out of men's heads. … We are far from being able to provide scientific basis for the theological world view.”

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Kurt Gödel

As quoted in Logical Dilemmas : The Life and Work of Kurt Gödel (1997) by John W. Dawson Jr.

“The formation in geological time of the human body by the laws of physics (or any other laws of similar nature), starting from a random distribution of elementary particles and the field is as unlikely as the separation of the atmosphere into its components. The complexity of the living things has to be present within the material [from which they are derived] or in the laws”

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Kurt Gödel

governing their formation
As quoted in "On 'computabilism’ and physicalism: Some Problems" by Hao Wang, in Nature’s Imagination (1995), edited by J. Cornwall, p.161-189

“To every ω-consistent recursive class κ of formulae there correspond recursive class signs r, such that neither v Gen r nor Neg (v Gen r) belongs to Flg (κ) (where v is the free variable of r).”

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Kurt Gödel

Proposition VI, On Formally Undecidable Propositions in Principia Mathematica and Related Systems I (1931); Informally, recursive systems of axioms cannot be complete.

“I like Islam, it is a consistent idea of religion and open-minded.”

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Kurt Gödel

As quoted in A Logical Journey: From Gödel to Philosophy (1996) by Hao Wang

“But every error is due to extraneous factors (such as emotion and education); reason itself does not err.”

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Kurt Gödel

Attributed as a remark of 29th November 1972, in Incompleteness (2005) by Rebecca Goldstein

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