the existence of abstract objects. Mathematical object#Platonism Modern Platonism "Platonism in Metaphysics". Platonism in Metaphysics (Stanford Encyclopedia...

"epistemic argument" against Platonism has been made by Paul Benacerraf and Hartry Field. Platonism posits that mathematical objects are abstract entities...

proponent of mathematical Platonism, and his work in model theory was a major influence on modern platonism Roger Penrose: A contemporary mathematical physicist...

accept all doctrines of Plato. Platonism has had a profound effect on Western thought. At the most fundamental level, Platonism affirms the existence of abstract...

Middle Platonism is the modern name given to a stage in the development of Platonic philosophy, lasting from about 90 BC – when Antiochus of Ascalon rejected...

philosophy of mathematics for the existence of abstract mathematical objects such as numbers and sets, a position known as mathematical platonism. It was named...

in the philosophy of mathematics that holds that mathematical theories describe structures of mathematical objects. Mathematical objects are exhaustively...

Wittgenstein condemned set theory philosophically for its connotations of mathematical platonism. He wrote that "set theory is wrong", since it builds on the "nonsense"...

therefore, Mathematical Platonism can be reduced to three propositions: Existence: There are mathematical objects. Abstractness: Mathematical objects are...

According to mathematical Platonism, this is the case because of the existence of mathematical objects, like numbers and sets. Mathematical Platonists say...

on at least three continents. Ethnomathematics Folk psychology Mathematical Platonism Numeracy Pseudomathematics Imre Lakatos, Proofs and Refutations...

"consciousness-is-computation" version of computationalism and mathematical realism (or radical mathematical Platonism) are true, then consciousness is computation, which...

Plato's Academy and continued on through a period of Platonism which is now referred to as middle Platonism. The term neoplatonism implies that Plotinus' interpretation...

a special kind of mathematical intuition that lets us perceive mathematical objects directly. Quine and Putnam argued for platonism with the indispensability...

metaphysician Edward Zalta in 1981, the theory was an expansion of mathematical Platonism. Abstract Objects: An Introduction to Axiomatic Metaphysics (1983)...

the philosophical view that mathematical objects somehow exist on their own in abstraction is often referred to as Platonism. Independently of their possible...

philosophy of mathematics, Benacerraf's identification problem is a philosophical argument developed by Paul Benacerraf against set-theoretic Platonism and published...

List of Austrian scientists List of pioneers in computer science Mathematical Platonism Primitive recursive functional Strange loop Tarski's undefinability...

continuum hypothesis is either undecidable or false in the sense of mathematical platonism. Woodin criticizes this view arguing that it leads to a counterintuitive...

the University of Toronto. In the philosophy of mathematics, he has advocated mathematical Platonism, visual reasoning, and in the philosophy of science...

distances himself from mathematical platonism, and gives his reaction to Eugene Wigner's "The Unreasonable Effectiveness of Mathematics in the Natural Sciences"...

which were critical of aspects of mathematical Platonism, and the first of which was well received by the mathematical community. While Gardner was often...

universe is not merely described by mathematics, but is mathematics — specifically, a mathematical structure. Mathematical existence equals physical existence...

Athens where Plato taught the doctrines that would later become known as Platonism. Plato's most famous contribution is the theory of forms (or ideas), which...

Bristol, February 2011. Linsky, B., and Zalta, E., 1995, "Naturalized Platonism vs. Platonized Naturalism", The Journal of Philosophy, 92(10): 525–555...

real but abstract possibilities (i.e. platonism), or sometimes as a mere metaphor, abbreviation, or as mathematical devices, or a mere combination of propositions...

"epistemic argument" against Platonism has been made by Paul Benacerraf and Hartry Field. Platonism posits that mathematical objects are abstract entities...

Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics. Mathematicians may...

mathematics which defends that sets, as conceived in set theory, exist independently of human thought and language, similar to mathematical Platonism...

Platonism, but Carl Posy denies the idea that Brouwer's position was a reaction to earlier set-theoretic paradoxes. Skolem was another mathematical intuitionist...