Related reading

M. Balaguer, E.N. Zalta [ed.] (2011), Fictionalism in the Philosophy of Mathematics
E. Bishop, D. Bridges (1985), Constructive Analysis
J. Bolyai (1831), F. Kárteszi [ed.] (1987), Appendix: The Theory of Space
D. van Dalen [ed.] (1981), Brouwer's Cambridge Lectures on Intuitionism
K. Devlin (1993), The Joy of Sets: Fundamentals of Contemporary Set Theory
H. Field (2008), Saving Truth from Paradox
H. Field (1980), Science Without Numbers: A Defence of Nominalism
T. Gowers [ed.] et al. (2008), The Princeton Companion to Mathematics
J.L. Heiberg [ed.] (1883-1885), R. Fitzpatrick [trans.] (2008), Euclid's Elements of Geometry
D. Hilbert (1926), E. Putnam & G.J. Massey [trans.] (1964), On the infinite
D. Hilbert (1898-1899), E.J. Townsend [trans.] (1902), The Foundations of Geometry
D.R. Hofstadter (2008), I Am a Strange Loop
H.J. Keisler (2011), Foundations of Infinitesimal Calculus
E. Nelson (2005), Completed versus Incomplete Infinity in Arithmetic
E. Nelson (2010), Confessions of an Apostate Mathematician
E. Nelson (1977), Internal Set Theory: A new approach to nonstandard analysis
E. Nelson (2000), Mathematics and Faith
E. Nelson (1987), Radically Elementary Probability Theory
E. Nelson (2002), Syntax and Semantics
E. Nelson (2006), Warning Signs of a Possible Collapse of Contemporary Mathematics
B. Russel (1919), Introduction to Mathematical Philosophy
E. Schechter (2001), Constructivism Is Difficult
I. Stewart (2010), Alien mathematics: is Pi universal?
P. Suppes (2001), Finitism in geometry
P. Suppes (2000), Quantifier-free axioms for constructive affine plane geometry
P. Suppes (2002), Representation and Invariance of Scientific Structures
P. Suppes (2010), The nature of probability
M. Tiles (1989), The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise
E.P. Wigner (1959), The Unreasonable Effectiveness of Mathematics in the Natural Sciences
F. Ye (2011), Strict Finitism and the Logic of Mathematical Applications

« Previous | View full article | Next »

 

Leave a Reply

Your email address will not be published.