The Philosophy of Mathematics Education There are some of explanations or points about philosophical school, like Absolutism, Progressive absolusit, Platonism, Conventionalism, and Empiricism.

1. The Philosophy Of
Mathematics
Education
A Further Examination of Philosophical Schools
By:
1. Nurul Fadhila Alimuddin/1711440008
2. Meutiah Nahrisyah/1711441014
MATHEMATICS
DEPARTMENT
UNIVERSITAS NEGERI

2. Philosophical
Schools
The Absolutist
Schools
Progressive
Absolutism
Platonism Conventionalism Empiricism

3. THE ABSOLUTIST
Refuted in general the possibility of absolutism in the philosophy of mathematics.
Because these schools have no made contribution to a broadly conceived account
of mathematics.
Thus, not only have they failed in their-self chosen foundationist goals, but even
had they succeeded they would remain inadequate philosophies of mathematics.

4. Philosophical
Schools
The Absolutist
Schools
Progressive
Absolutism
Platonism Conventionalism Empiricism

5. PROGRESSI
VE
ABSOLUTISM
1. Accomodate the creation and change of axiomatic
theories.
2. Acknowledge that more than purely formal
mathematics exists, for mathematical intuition is
needed as the basis for theory creation
3. Acknowledge human activity and its outcomes, in the
creation of new knowledge and theories
In consequence, intuitionism and progressive absolutist philosophies in
general, satisfy more of the adequacy criteria than formal absolutist
philosophies whilst nevertheless remaining refuted overall.
This partial fulfilment of the criteria deserves
acknowledgment, for it means that not all
absolutist philosophies are on a par it also turn out
to be significant for education

6. Philosophical
Schools
The Absolutist
Schools
Progressive
Absolutism
Platonism Conventionalism Empiricism

7. PLATONISM
Platonism is the view that the object of mathematics have
a real, objective existence in some ideal realm
Platonists maintain that the objects and structures of
mathematics have a real existence independent of
humanity, and that doing mathematics is the process of
discovering their pre-existing relationship
Two major weakness
It’s not able to offer an adequate account
of how mathematicians gai access to
knowledge of the platonic realm
It’s not able to offer an adequate account
of mathematics, neither internally nor
externally

8. Philosophical
Schools
The Absolutist
Schools
Progressive
Absolutism
Platonism Conventionalism Empiricism

9. CONVENTIONALISM
The conventionalist view of mathematics holds that mathematical knowledge and
truth are based on linguistic conventions. In particular, that the truths of logic and
mathematics are analytic, true by virtue of the meanings of the terms involved.
The best known proponent of this view is WITTGENSTEIN
Wittgenstein’s conventionalist philosophy of mathematics
The ‘truths’ of mathematics and logic depend for their acceptance on the linguistic
rules of use of terms and grammar, as well on the rules governing proofs.

10. CONVENTIONALISM
The conventionalist philosophy of mathematics has been criticized :
1 It’s claimed to be uninformative
2
Objection is due to Quine. linguistic conventions must either include
the infinite number of truths or this single, general convention, in
which case we need logic in the metalanguage to derive all its
instances.

11. Philosophical
Schools
The Absolutist
Schools
Progressive
Absolutism
Platonism Conventionalism Empiricism

12. EMPIRICISM
The empiricist view of the nature of mathematics holds that the truths of mathematics are
empirical generalisations.
Two empiricist theses :
1 2
The concepts of mathematics
have empirical origins
The truths of mathematics have empirical
justification, that is, are derived from
observations of the physical world

13. EMPIRICISM
Empiricism is open to a further criticisms
1. Mathematics is largely abstract, and so many of
its concepts do not have their origins in
observations of the world
2. Empiricism can be criticized for focusing almost
exclusively on foundationist issues, and failing to
account adequately for the nature of mathematics

14. THANKS!