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The Merits of Incoherence
Author(s) -
Pryor James
Publication year - 2018
Publication title -
analytic philosophy
Language(s) - English
Resource type - Journals
eISSN - 2153-960X
pISSN - 2153-9596
DOI - 10.1111/phib.12118
Subject(s) - warrant , proposition , epistemology , meaning (existential) , phrase , set (abstract data type) , quality (philosophy) , vocabulary , dimension (graph theory) , philosophy , psychology , linguistics , computer science , mathematics , financial economics , pure mathematics , economics , programming language
[W]e can say that mathematical logic is the branch of mathematics that studies the logic and the methods of deduction used in mathematics... [T]here is something circular, perhaps even paradoxical, in the nature of this field. For *its subject matter is mathematical reasoning*, but since it is a branch of mathematics *its method of inquiry* must also consist of mathematical reasoning. (Robert Wolf, A Tour through Mathematical Logic, 2005, p. vii)