Examples of using Foundations of mathematics in English and their translations into Greek
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Foundations of mathematics considerations.
Mathematicians started rebuilding the foundations of mathematics from the bottom up.
Foundations of mathematics considerations[edit].
Its purpose is to honour a French mathematician for research in the foundations of mathematics.
Remarks on the Foundations of Mathematics, translated by G.E.M.
Investigations into this issue are known as the foundations of mathematics program.
Remarks on the Foundations of Mathematics, translated by G.E.M. Anscombe, rev.
I should briefly remind the reader of the crisis in the foundations of Mathematics in the last century.
Theorems in the foundations of mathematics From Wikipedia, the free encyclopedia.
Back in Cambridge,he attended lectures by Ludwig Wittgenstein about the foundations of mathematics.
Hilbert published his views on the foundations of mathematics in the 2-volume work Grundlagen der Mathematik.
His contributions include the development of modern logic in the Begriffsschrift and work in the foundations of mathematics.
Ramsey, The foundations of mathematics, Proceedings of the London Mathematical Society, Series 2 25(1926) 338-384.
An sudden consequence of Frege's work was the discovery of weaknesses within the foundations of mathematics.
Plato also discussed the foundations of mathematics, clarified some of the definitions, and reorganized the assumptions.
He is considered to be one of the founders of modern logic, andmade major contributions to the foundations of mathematics.
In order to clarify the foundations of mathematics, the fields of mathematical logic and set theory were developed.
When Turing returned to Cambridge, he attended lectures given in 1939 by Ludwig Wittgenstein about the foundations of mathematics.
First-order logic is of great importance to the foundations of mathematics, because it is the standard formal logic for axiomatic systems.
Since its inception,mathematical logic has both contributed to, the study of foundations of mathematics.
He now started an intensive study of the foundations of mathematics at Trinity during which he discovered Russell's paradox which challenged the foundations of set theory.
Even 90 years after Zermelo andFraenkel had supposedly fixed the foundations of mathematics, cracks were rife.
Surprising and counter-intuitive developments in formal logic andset theory early in the 20th century led to new questions concerning what was traditionally called the foundations of mathematics.
Chwistek, Antynomje logikiformalnej, Przeglad Filozoficzny 24(1921)164- 171 F. P. Ramsey, The foundations of mathematics, Proceedings of the London Mathematical Society, Series 2 25(1926) 338- 384.
Combinatory logic andlambda calculus were both originally developed to achieve a clearer approach to the foundations of mathematics.
In 1903 Alfred North Whitehead andBertrand Russell published Principia Mathematica on the foundations of mathematics, attempting to derive mathematical truths from axioms and inference rules in symbolic logic.
Since its inception,mathematical logic has both contributed to, and has been motivated by, the study of foundations of mathematics.
The program focuses on logic and its applications in the philosophy of science,particularly in the foundations of mathematics, physics, linguistics, and the social sciences.
Since its inception,mathematical logic has contributed to, and has been motivated by, the study of foundations of mathematics.
He has published on history and philosophy of Greek mathematics, history of mathematical logic,philosophy and the foundations of mathematics, general artificial intelligence.