The Foundation of Matematics consist of mathematical logic, axiomatic set theory, proof theory, model theory, and recursion theory.Thre are related to philosofi of matematics.
Philosofi of matematics consist of :
Platonism
“Platonists, such as Kurt Gödel, hold that numbers are abstract, necessarily existing objects, independent of the human mind”[1]
Formalism
“Formalists, such as David Hilbert (1862–1943), hold that mathematics is no more or less than mathematical language. It is simply a series of games...” [1]
Intuitionism
“Intuitionists, such as L. E. J. Brouwer (1882–1966), hold that mathematics is a creation of the human mind. Numbers, like fairy tale characters, are merely mental entities, which would not exist if there were never any human minds to think about them.” [1]
The Foundation Of Matematics :
1) Strong : example geometri in Ingland to be foundation of matematics
2) Viewless :
Epistimologi : learn the science of mathematics resources.(Emanuel Khan)
Based on Critical Thinking
1. Syntetic apriory : not see the person can understand. The science obtained from Kontradiktion.
2. Analitic.
referensi;http://en.wikipedia.org/wiki/David_Hilbert
Jumat, 09 Januari 2009
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