(TTTT)(p, q)
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Tautology
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(if p then p, and if q then q.) [p ⊃ p . q ⊃ q]
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(FTTT)(p, q)
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in words:
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Not both p and q. [~(p . q)]
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(TFTT)(p, q)
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” ”
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If q then p. [q ⊃ p]
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(TTFT)(p, q)
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” ”
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If p then q. [p ⊃ q]
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(TTTF)(p, q)
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” ”
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p or q. [p ∨ q]
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(FFTT)(p, q)
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” ”
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Not q. ~q
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(FTFT)(p, q)
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” ”
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Not p. ~p
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(FTTF)(p, q)
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” ”
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p or q, but not both. [p . ~q : ∨ : q . ~p]
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(TFFT)(p, q)
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” ”
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If p, then q; and if q, then p. [p ≡ q]
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(TFTF)(p, q)
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” ”
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p
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(TTFF)(p, q)
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” ”
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q
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(FFFT)(p, q)
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” ”
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Neither p nor q. [~p . ~q or p | q]
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(FFTF)(p, q)
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” ”
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p and not q. [p . ~q]
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(FTFF)(p, q)
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” ”
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q and not p. [q . ~p]
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(TFFF)(p, q)
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” ”
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q and p. [q . p]
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(FFFF)(p, q)
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Contradiction
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(p and not p; and q and not q.) [p . ~p . q . ~q]
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