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Abstract

On intensions and extensions of concepts 8 – Inductive and deductive construction of regular and contradictory (dialectical) and contrary (dispositional) concepts 9 – Their definitions expressed intensionally and extensionally by their position in the pyramid 10 – On complete and incomplete induction in logic and mathematics 11 – Particulars and individuals as quantified concepts insufficiently determined and therefore lacking definition 12 – Multiple inductions of different general concepts from a single individual instance 14 – Deductive construction of contradictory concepts 15 – The creative and heuristic character of contradictory concepts 15 – The formal construction of contradictory concepts 17 – Dispositional concepts and their logical structure 18 – The contradictory structure of number-concepts 19 – The logical concept of prime number and the definition of primes via the application of the algorithms of non-primes 23.

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Geldsetzer, L., Schwartz, R.L. (2013). On Concepts. In: Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5301-3_1

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