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Full Idea
According to its supporters, second-order logic allow us to pay the ontological price of a mere first-order theory and get the corresponding monadic second-order theory for free.
Clarification
'Monadic' means predicates and relations have the minimum number of places
Gist of Idea
Can second-order logic be ontologically first-order, with all the benefits of second-order?
Source
Øystein Linnebo (Plural Quantification Exposed [2003], §0)
Book Ref
-: 'Nous' [-], p.71
| 10778 | Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo] |
| 10779 | A comprehension axiom is 'predicative' if the formula has no bound second-order variables [Linnebo] |
| 10781 | A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo] |
| 10782 | The modern concept of an object is rooted in quantificational logic [Linnebo] |
| 10783 | Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo] |