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LOGICISM, INTERPRETABILITY, AND KNOWLEDGE OF ARITHMETIC
2014
The Review of Symbolic Logic
A crucial part of the contemporary interest in logicism in the philosophy of mathematics resides in its idea that arithmetical knowledge may be based on logical knowledge. Here an implementation of this idea is considered that holds that knowledge of arithmetical principles may be based on two things: (i) knowledge of logical principles and (ii) knowledge that the arithmetical principles are representable in the logical principles. The notions of representation considered here are related to
doi:10.1017/s1755020313000397
fatcat:sa46d557ovaazbrgrrfxcufh3q