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Single Idea 18893

[filed under theme 5. Theory of Logic / E. Structures of Logic / 1. Logical Form ]

Full Idea

Modern predicate logic's methods of justification, which involve translation into an artificial quantificational idiom, offer no clues to how the average person, knowing no logic and adhering to the vernacular, is so logically adept.

Gist of Idea

Translating into quantificational idiom offers no clues as to how ordinary thinkers reason

Source

Fred Sommers (Intellectual Autobiography [2005], Intro)

Book Ref

'The Old New Logic', ed/tr. Oderberg,David S. [MIT 2005], p.2


A Reaction

Of course, people are very logically adept when the argument is simple (because, I guess, they can test it against the world), but not at all good when the reasoning becomes more complex. We do, though, reason in ordinary natural language.


The 9 ideas from 'Intellectual Autobiography'

'Predicable' terms come in charged pairs, with one the negation of the other [Sommers, by Engelbretsen]
Sommers promotes the old idea that negation basically refers to terms [Sommers, by Engelbretsen]
Translating into quantificational idiom offers no clues as to how ordinary thinkers reason [Sommers]
Predicates form a hierarchy, from the most general, down to names at the bottom [Sommers]
Truthmakers are facts 'of' a domain, not something 'in' the domain [Sommers]
Logic which maps ordinary reasoning must be transparent, and free of variables [Sommers]
Unfortunately for realists, modern logic cannot say that some fact exists [Sommers]
In standard logic, names are the only way to refer [Sommers]
Predicate logic has to spell out that its identity relation '=' is an equivalent relation [Sommers]