Combining Texts

Ideas for 'Summa totius logicae', 'Abstract Objects: a Case Study' and 'works'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts


5 ideas

6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
For Quine, intuitionist ontology is inadequate for classical mathematics [Quine, by Orenstein]
Intuitionists only admit numbers properly constructed, but classical maths covers all reals in a 'limit' [Quine, by Orenstein]