Neo-logicism is the view that various branches of mathematics can be reformulated in terms of abstraction principles that we can stipulate, and thus come to know the truth of, a priori. The main success story of neo-logicism so far is the derivation of arithmetic from Hume’s Principle:
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Cook, R.T. (2007). Aristotelian Logic, Axioms, and Abstraction. In: Cook, R.T. (eds) The Arché Papers on the Mathematics of Abstraction. The Western Ontario Series in Philosophy of Science, vol 71. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4265-2_9
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DOI: https://doi.org/10.1007/978-1-4020-4265-2_9
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