Owen Jones, (born Feb. 15, 1809, London died April 19 , 1874, English designer, architect, and writer, best known for his standard work treating both Eastern and Western design motifs, The Grammar of Ornament (1856), which presented a systematic pictorial collection emphasizing both the use of colour and the application of logical principles to the design of everyday objects.
As Jack Meiland (1976) construes Erdmann's philosophy of logic, the psychological interpretation of logical principles is meant to explain why we cannot conceive of radically different logical systems.
ALAN SOKAL: Yes, it's hard to imagine what an ab initio justification of logical principles like modus ponens would look like.
This is what is supposed to justify the realist's use of strictly classical logical principles such as the Law of Excluded Middle.
Second, authors used or adduced logical principles of reasoning such as the principle of non-contradiction, the principle of excluded middle and the principle of double negation.
In it he sought to teach students how to use logical principles to spot correct or fallacious reasoning in a wide variety of contemporary political and social debates.
Mullā Ṣadrā makes extensive use of logical analyses and demonstrative proofs, which rest on what he calls "illuminative principle" (qā'idah ishraqiyyah); that is, what has entered the heart (al-varidāt al-qalbiyyah), or "Divinely realized knowledge" (taḥqīq 'arshī).
He describes the necessity of logical truths as dependent on the rules governing the use of logical constants.
Brouwer rejected formalism per se but admitted the potential usefulness of formulating general logical principles expressing intuitionistically correct constructions, such as modus ponens.
Book III of Richard Whately's Elements of Logic (1826) is devoted to giving an account, based on "logical principles," of fallacies.
To find them, mathematicians from the ancient Greeks on have set up systems consisting of three basic elements: axioms, true statements so intuitively obvious they are self-evident; rules of inference, logical principles indicating how to use axioms to prove new, less obviously true statements; and those new true statements, called theorems.
