Plato Was Not a Mathematical Platonist
Elaine Landry
sij 2023. · Cambridge University Press
E-knjiga
103
str.
reportOcjene i recenzije nisu potvrđene Saznajte više
O ovoj e-knjizi
This Element shows that Plato keeps a clear distinction between mathematical and metaphysical realism and the knife he uses to slice the difference is method. The philosopher's dialectical method requires that we tether the truth of hypotheses to existing metaphysical objects. The mathematician's hypothetical method, by contrast, takes hypotheses as if they were first principles, so no metaphysical account of their truth is needed. Thus, we come to Plato's methodological as-if realism: in mathematics, we treat our hypotheses as if they were first principles, and, consequently, our objects as if they existed, and we do this for the purpose of solving problems. Taking the road suggested by Plato's Republic, this Element shows that methodological commitments to mathematical objects are made in light of mathematical practice; foundational considerations; and, mathematical applicability. This title is also available as Open Access on Cambridge Core.
Ocijenite ovu e-knjigu
Recite nam što mislite.
Informacije o čitanju
Pametni telefoni i tableti
Instalirajte aplikaciju Google Play knjige za Android i iPad/iPhone. Automatski se sinkronizira s vašim računom i omogućuje vam da čitate online ili offline gdje god bili.
Prijenosna i stolna računala
Audioknjige kupljene na Google Playu možete slušati pomoću web-preglednika na računalu.
Elektronički čitači i ostali uređaji
Za čitanje na uređajima s elektroničkom tintom, kao što su Kobo e-čitači, trebate preuzeti datoteku i prenijeti je na svoj uređaj. Slijedite detaljne upute u centru za pomoć za prijenos datoteka na podržane e-čitače.
