The Experts below are selected from a list of 8031 Experts worldwide ranked by ideXlab platform
Albert A Mullin - One of the best experts on this subject based on the ideXlab platform.
-
my brain is open the Mathematical journeys of paul erdős by bruce schechter the man who loved only numbers the story of paul erdős and the search for Mathematical Truth by paul hoffman
American Mathematical Monthly, 1999Co-Authors: Albert A MullinAbstract:(1999). My Brain Is Open: The Mathematical Journeys of Paul Erdős. By Bruce Schechter, The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth. By Paul Hoffman. The American Mathematical Monthly: Vol. 106, No. 7, pp. 694-696.
Paul Hoffman - One of the best experts on this subject based on the ideXlab platform.
-
the man who loved only numbers the story of paul erdos and the search for Mathematical Truth
1998Co-Authors: Paul HoffmanAbstract:A biography of the Hungarian pure Mathematical genius, Paul Erdos, born in 1913 in Budapest. Erdos led a strange life, devoting 19 hours a day, seven days a week to the study of mathematics, travelling the world with his mother until his death at the age of 83. He is considered one of the most extraordinary thinkers of our times.
Robert Hanna - One of the best experts on this subject based on the ideXlab platform.
-
Mathematical Truth regained
2010Co-Authors: Robert HannaAbstract:Benacerraf’s Dilemma (BD), as formulated by Paul Benacerraf in “Mathematical Truth,” is about the apparent impossibility of reconciling a “standard” (i.e., classical Platonic) semantics of mathematics with a “reasonable” (i.e., causal, spatiotemporal) epistemology of cognizing true statements. In this paper I spell out a new solution to BD. I call this new solution a positive Kantian phenomenological solution for three reasons: (1) It accepts Benacerraf’s preliminary philosophical assumptions about the nature of semantics and knowledge, as well as all the basic steps of BD, and then shows how we can, consistently with those very assumptions and premises, still reject the skeptical conclusion of BD and also adequately explain Mathematical knowledge. (2) The standard semantics of Mathematically necessary Truth that I offer is based on Kant’s philosophy of arithmetic, as interpreted by Charles Parsons and by me. (3) The reasonable epistemology of Mathematical knowledge that I offer is based on the phenomenology of logical and Mathematical self-evidence developed by early Husserl in Logical Investigations and by early Wittgenstein in Tractatus Logico-Philosophicus.
Melvyn B. Nathanson - One of the best experts on this subject based on the ideXlab platform.
-
Desperately seeking Mathematical Truth
arXiv: History and Overview, 2008Co-Authors: Melvyn B. NathansonAbstract:This article discusses epistemological problems in the philosophy of mathematics and issues concerning the reliability of the Mathematical literature.
Mark Balaguer - One of the best experts on this subject based on the ideXlab platform.
-
a theory of Mathematical correctness and Mathematical Truth
Pacific Philosophical Quarterly, 2001Co-Authors: Mark BalaguerAbstract:A theory of objective Mathematical correctness is developed. The theory is consistent with both Mathematical realism and Mathematical anti-realism, and versions of realism and anti-realism are developed that dovetail with the theory of correctness. It is argued that these are the best versions of realism and anti-realism and that the theory of correctness behind them is true. Along the way, it is shown that, contrary to the traditional wisdom, the question of whether undecidable sentences like the continuum hypothesis have objectively determinate Truth values is independent of the question of whether Mathematical realism is true.