A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of TeachingMcNair, George Hastings
Philosophy
A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of Teaching
McNair, George Hastings
Logic
[*]│Proposition│Name of │Inference │Principle
│symbolized │Process │symbolized │involved
───┼───────────┼─────────────┼───────────┼─────────────────────────
A │All S is │Opposition │Some S is │What is said of _all_ may
│ P[†] │ │ P (I) │ be said of _some_.
│ │ │ │
│ │Obversion │No S is │Two negatives are
│ │ │ not-P (E)│ equivalent to one
│ │ │ │ affirmative.
│ │ │ │
│ │Conversion by│Some P is │An undistributed term
│ │ Limitation │ S (I) │ cannot be distributed.
│ │ │ │
│ │Contraversion│No not-P │Same principles which
│ │ │ is S (E) │ obtain in obverting
│ │ │ │ A and converting E.
───┼───────────┼─────────────┼───────────┼─────────────────────────
E │No S is P │Opposition │Some S is │What is said of _all_ may
│ │ │ not P (O)│ be said of _some_.
│ │ │ │
│ │Obversion │All S is │Two negatives are
│ │ │ not-P (A)│ equivalent to one
│ │ │ │ affirmative.
│ │ │ │
│ │Simple │No P is S │Distribution not
│ │ Conversion │ (E) │ affected.
│ │ │ │
│ │Contraversion│Some not-P │An undistributed term
│ │ │ is S (I) │ cannot be distributed.
───┼───────────┼─────────────┼───────────┼─────────────────────────
I │Some S is P│Opposition │Doubtful │None.
│ │ │ │
│ │Obversion │Some S │Two negatives are
│ │ │ is not │ equivalent to one
│ │ │ not-P (O)│ affirmative.
│ │ │ │
│ │Conversion │Some P is │Distribution not
│ │ │ S (I) │ affected.
│ │ │ │
│ │Contraversion│Impossible │None.
───┼───────────┼─────────────┼───────────┼─────────────────────────
O │Some S is │Opposition │Doubtful │None.
│ not P │ │ │
│ │ │ │
│ │Obversion │Some S is │Two negatives are
│ │ │ not-P (I)│ equivalent to one
│ │ │ │ affirmative.
│ │ │ │
│ │Conversion │Impossible │None.
│ │ │ │
│ │Contraversion│Some not-P │Same as in obversion of
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