PHIL261:PhilosophyofMathematics
INTRODUCTION
Goldbach Proposition
-every even number (greater than 2) is the sum of two primes
Ex. 4 is the sum of 2 + 2, 6 is the sum of 3+3
-have checked the Golbach propositions with a large number of cases, it was corre
PHIL261:PhilosophyofMathematics
Kant(Contd)
4NearOpposites:KantandMill
Reorientation
Immanuel Kant (1724-1804)
(between Aristotle and Kant basically nothing happened in the philosophy of
Mathematics)
New physics was being developed by Newton, Leibniz, Des
1
Smith
Adrian Smith
10017122
Mark Smith
PHIL 261
Monday December 17, 2012
Yablos Figuralism
To account for what makes Stephen Yablos form of fictionalism an adequate
philosophy of mathematics, I will begin by first making clear what fictionalism is, and
PHIL261:PhilosophyofMathematics
Frege/Definitions
-thought analyticity is like a priority in being an epistemic concept
-believed every knowable proposition has an ultimate ground
-a proposition is a priori if either it is an un-provable general law or it
Stewart Shapiro
Thinking about Mathematics
1. Shapiro 1
2. Shapiro 2
3. Shapiro 3
4 Near Opposites: Kant and Mill
1. Reorientation
a. Immanuel Kant (1724-1804)
a.i. (between Aristotle and Kant basically nothing happened in the
philosophy of Mathematics)
a
PHIL261:PhilosophyofMathematics
ImmanuelKant
Kant (from reading)
-the truths of geometry, arithmetic and algebra are synthetic a priori founded on
intuition
-a universal proposition (in the form of all S are P) is analytic if the predicate concept
(P) is
Adrian Smith
10017122
Mark Smith
PHIL 261
October 10TH 2012
1.
Take Home Exam
Immanuel Kant believed that if we remove everything that is empirical from
arithmetical and temporal, as well as geometric and spatial representations space and time
would still