David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Philosophical Quarterly 54 (214):134-165 (2004)
Logicism is, roughly speaking, the doctrine that mathematics is fancy logic. So getting clear about the nature of logic is a necessary step in an assessment of logicism. Logic is the study of logical concepts, how they are expressed in languages, their semantic values, and the relationships between these things and the rest of our concepts, linguistic expressions, and their semantic values. A logical concept is what can be expressed by a logical constant in a language. So the question “What is logic?” drives us to the question “What is a logical constant?” Though what follows contains some argument, limitations of space constrain me in large part to express my Credo on this topic with the broad brush of bold assertion and some promissory gestures.
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References found in this work BETA
Ian Hacking (1979). What is Logic? Journal of Philosophy 76 (6):285-319.
Mario Gomez-Torrente (2002). The Problem of Logical Constants. Bulletin of Symbolic Logic 8 (1):1-37.
Lawrence H. Powers (1978). Knowledge by Deduction. Philosophical Review 87 (3):337-371.
K. R. Popper (1947). New Foundations for Logic. Mind 56 (223):193-235.
Harold T. Hodes (1989). Three Value Logics: An Introduction, A Comparison of Various Logical Lexica and Some Philosophical Remarks. Annals of Pure and Applied Logic 43 (2):99-145.
Citations of this work BETA
Brendan Jackson (2006). Logical Form: Classical Conception and Recent Challenges. Philosophy Compass 1 (3):303-316.
Harold T. Hodes (2008). On Some Concepts Associated with Finite Cardinal Numbers. Behavioral and Brain Sciences 31 (6):657-658.
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