I personally see nothing different between using a Modus ponens to prove something, or to measure it in a laboratory .-- time 10 : 36, 24 April 2007 ( UTC)
42.
So it isn't a modus ponens that's needed, it's another transitivity and some more contrapositions . talk ) 19 : 23, 11 November 2011 ( UTC)
43.
For example, let us choose the system of proof having modus ponens as its sole rule of inference, and whose axioms are the Hilbert-style ones given at Intuitionistic logic # Axiomatization.
44.
As for modal logic, the inference rules " modus ponens " and " necessitation " suffice also for dynamic logic as the only primitive rules it needs, as noted above.
45.
Bobzien's paper " The Development of Modus Ponens in Antiquity " traces the earliest development of the most basic principle of deduction, i . e . modus ponens ( or Law of Detachment ).
46.
Bobzien's paper " The Development of Modus Ponens in Antiquity " traces the earliest development of the most basic principle of deduction, i . e . modus ponens ( or Law of Detachment ).
47.
Given a complete set of axioms ( see below for one such set ), modus ponens is sufficient to prove all other argument forms in propositional logic, thus they may be considered to be a derivative.
48.
One of the most common of these is Modus Ponens Ponendum ( MPP ), which is a simple inference of relation between two objects, the latter supervening on the former ( P-: Q ).
49.
The stress on finiteness came from the idea that human " mathematical " thought is based on a finite number of principles and all the reasonings follow essentially one rule : the " modus ponens ".
50.
Also running on a JOHNNIAC, the Logic Theory Machine constructed proofs from a small set of propositional axioms and three deduction rules : modus ponens, ( propositional ) variable substitution, and the replacement of formulas by their definition.
