Formal logic: Classical problems and proofs [PDF]
Not focusing on the history of classical logic, this book provides discussions and quotes central passages on its origins and development, namely from a philosophical perspective.
Augusto, Luis M.
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Categorical Syllogism as a Function
In this paper, categorical propositions are interpreted as the relations between two sets, including empty sets. The moods of a categorical syllogism are interpreted as the relations among three sets. Based on these, the syllogistic function is derived, which maps the relations of the premises to the corresponding subject-predicate relation in the ...
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An old- new presentation of categorical syllogisms
One recognizes five types of pairs of categorical premises (PCPs) – only three out of the five types entail logical conclusions (LCs) and thus generate valid categorical arguments (VCAs), some of which are the usual valid syllogisms (VSs). (George Boole and Lewis Carroll obtained these results.) One argues, (using set relabelings), that all VCAs of the
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Complexity analysis of the brain activity in Autism Spectrum Disorder (ASD) and Attention Deficit Hyperactivity Disorder (ADHD) due to cognitive loads/demands induced by Aristotle's type of syllogism/reasoning. A Power Spectral Density and multiscale entropy (MSE) analysis. [PDF]
Papaioannou AG +7 more
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Differences in Performance of ASD and ADHD Subjects Facing Cognitive Loads in an Innovative Reasoning Experiment. [PDF]
Papaioannou A +7 more
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THE PROCESS OF DEDUCTIVE THINKING AT 8TH GRADE STUDENTS WITH HIGH MATH SKILL IN COMPLETING GEOMETRIC PROOF [PDF]
Nowadays, deductive thinking begins to attract more attention in the field of mathematics education especially for geometry. A deductive thinking can be noticed as the way of deduction from general to specific statement.
Pipit, Firmanti
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Solving natural syllogisms [PDF]
Natural syllogisms are expressed in terms of classes and properties of the real world (usually of daily life). They exploit a categorisation present in semantic memory that provides a class inclusion structure.
Politzer, Guy
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Paradoxical Reasoning: An fMRI Study. [PDF]
Belekou A +6 more
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An intuitive, visual presentation of categorical syllogisms
One proposes a very simple scheme for finding logical conclusions (LCs) from any pairof categorical premises (PCP), by using the fact that any universal, (resp. particular),premise empties, (resp. lays set elements into), two subsets out of the eight subsetpartition of the universal set U which models the categorical statements.
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Critical Foundations of the Contextual Theory of Mind [PDF]
The contextual mind is found attested in various usages of the term complement, in the background of Kant. The difficulties of Kant's intuitionism are taken up through Quine, but referential opacity is resolved as semantic presence in lived context.
antiquari(at)vodamail(dot)co(dot)za, Mr S.A. Orwin O'Dowd
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