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Logic-mathematical skills combine with all the other intelligences to facilitate complex problem solving and creation such as environmental engineering and scientists (naturalist); symphonies (music); public sculptures (visual-spatial) and choreography/ movement analysis (kinesthetic).
Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power.
In this regard, logical reasoning should be skeptical and open-minded at the same time. [120] On the practical level, logical reasoning concerns the issue of making rational and effective decisions. [114] [115] For many real-life decisions, various courses of action are available to the agent. For each possible action, there can be conflicting ...
Learning styles refer to a range of theories that aim to account for differences in individuals' learning. [1] Although there is ample evidence that individuals express personal preferences on how they prefer to receive information, [2]: 108 few studies have found validity in using learning styles in education.
Logical Intuition, or mathematical intuition or rational intuition, is a series of instinctive foresight, know-how, and savviness often associated with the ability to perceive logical or mathematical truth—and the ability to solve mathematical challenges efficiently. [1]
Gardner breaks intelligence down into components. In the first edition of his book Frames of Mind (1983), he described seven distinct types of intelligence: logical-mathematical, linguistic, spatial, musical, kinesthetic, interpersonal, and intrapersonal. In a second edition, he added two more types of intelligence: naturalist and existential ...
The use of "Hilbert-style" and similar terms to describe axiomatic proof systems in logic is due to the influence of Hilbert and Ackermann's Principles of Mathematical Logic (1928). [2] Most variants of Hilbert systems take a characteristic tack in the way they balance a trade-off between logical axioms and rules of inference.
Intuitionistic logic is related by duality to a paraconsistent logic known as Brazilian, anti-intuitionistic or dual-intuitionistic logic. [14] The subsystem of intuitionistic logic with the FALSE (resp. NOT-2) axiom removed is known as minimal logic and some differences have been elaborated on above.
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