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Single Idea 11084

[filed under theme 10. Modality / A. Necessity / 6. Logical Necessity ]

Full Idea

Logical necessity is the truth of a sentence by virtue of logical laws or intrinsic conceptual connections alone, and thus true in all logically possible worlds. Put in traditional terms, logical necessity is analyticity.

Gist of Idea

Logical necessity is truth in all logically possible worlds, because of laws and concepts

Source

Robert Hanna (Rationality and Logic [2006], 6.6)

Book Ref

Hanna,Robert: 'Rationality and Logic' [MIT 2006], p.196


The 28 ideas from 'Rationality and Logic'

Kantian principled rationality is recognition of a priori universal truths [Hanna]
Humean Instrumental rationality is the capacity to seek contingent truths [Hanna]
Hegelian holistic rationality is the capacity to seek coherence [Hanna]
Most psychologists are now cognitivists [Hanna]
Explanatory reduction is stronger than ontological reduction [Hanna]
Frege's logical approach dominates the analytical tradition [Hanna]
Scientism says most knowledge comes from the exact sciences [Hanna]
Supervenience can add covariation, upward dependence, and nomological connection [Hanna]
Logic is explanatorily and ontologically dependent on rational animals [Hanna]
Circular arguments are formally valid, though informally inadmissible [Hanna]
Intensional consequence is based on the content of the concepts [Hanna]
Logicism struggles because there is no decent theory of analyticity [Hanna]
Rational animals have a normative concept of necessity [Hanna]
One tradition says talking is the essence of rationality; the other says the essence is logic [Hanna]
'Affirming the consequent' fallacy: φ→ψ, ψ, so φ [Hanna]
'Denying the antecedent' fallacy: φ→ψ, ¬φ, so ¬ψ [Hanna]
Logic is personal and variable, but it has a universal core [Hanna]
Intuition is only outside the 'space of reasons' if all reasons are inferential [Hanna]
Intuition includes apriority, clarity, modality, authority, fallibility and no inferences [Hanna]
Intuition is more like memory, imagination or understanding, than like perception [Hanna]
Imagination grasps abstracta, generates images, and has its own correctness conditions [Hanna]
A sentence is necessary if it is true in a set of worlds, and nonfalse in the other worlds [Hanna]
Should we take the 'depictivist' or the 'descriptivist/propositionalist' view of mental imagery? [Hanna]
Logical necessity is truth in all logically possible worlds, because of laws and concepts [Hanna]
Metaphysical necessity can be 'weak' (same as logical) and 'strong' (based on essences) [Hanna]
Nomological necessity is truth in all logically possible worlds with our laws [Hanna]
Formally, composition and division fallacies occur in mereology [Hanna]
We can list at least fourteen informal fallacies [Hanna]