David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Ratio 21 (2):115–133 (2008)
Modern thinkers regard logic as a purely formal discipline like number theory, and not to be confused with any empirical discipline such as cognitive psychology, which may seek to characterize how people actually reason. Opposed to this is the traditional view that even a formal logic can be cognitively veridical – descriptive of procedures people actually follow in arriving at their deductive judgments (logic as Laws of Thought). In a cognitively veridical logic, any formal proof that a deductive judgment, intuitively arrived at, is valid should ideally conform to the method the reasoning subject has used to arrive at that judgment. More specifically, it should reveal the actual reckoning process that the reasoning subject more or less consciously carries out when they make a deductive inference. That the common logical words used in everyday reasoning – words such as 'and', 'if,''some', 'is''not,' and 'all'– have fixed positive and negative charges has escaped the notice of modern logic. The present paper shows how, by unconsciously recognizing 'not' and 'all' as 'minus-words', while recognizing 'and', 'some', and 'is' as 'plus words', a child can intuitively reckon, for example, 'not (−) all (−) dogs are (+) friendly' as equivalent to 'some (+) dogs aren't (−) friendly': −(−D+F) = +D−F.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Stewart Shapiro (1995). Reasoning, Logic and Computation. Philosophia Mathematica 3 (1):31-51.
Gilbert Harman, Kelby Mason & Walter Sinnott-Armstrong (2010). Moral Reasoning. In John Michael Doris (ed.), The Moral Psychology Handbook. Oxford University Press
Pascal Engel (2006). Logic, Reasoning and the Logical Constants. Croatian Journal of Philosophy 6 (2):219-235.
Carlo Cellucci (1998). The Scope of Logic: Deduction, Abduction, Analogy. Theoria 64 (2-3):217-242.
Gilbert Harman (2009). Field on the Normative Role of Logic. Proceedings of the Aristotelian Society 109 (1pt3):333 - 335.
Ian J. Dove (2009). Towards a Theory of Mathematical Argument. Foundations of Science 14 (1-2):136-152.
Paul Tomassi (1999). Logic. Routledge.
Hanno Sauer (2011). Social Intuitionism and the Psychology of Moral Reasoning. Philosophy Compass 6 (10):708-721.
Tyler Burge (2003). Logic and Analyticity. Grazer Philosophische Studien 66 (1):199-249.
Added to index2009-01-28
Total downloads32 ( #109,306 of 1,781,364 )
Recent downloads (6 months)2 ( #207,233 of 1,781,364 )
How can I increase my downloads?