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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]
Map–territory relation – Relationship between an object and a representation of that object (confusing map with territory, menu with meal) Mathematical fallacy – Certain type of mistaken proof; Sophistical Refutations – Text by Aristotle on logical fallacies, in which Aristotle presented thirteen fallacies
The types of logical reasoning differ concerning the exact norms they use as well as the certainty of the conclusion they arrive at. [1] [15] Deductive reasoning offers the strongest support and implies its conclusion with certainty, like mathematical proofs. For non-deductive reasoning, the premises make the conclusion more likely but do not ...
Historically, attempts to quantify probabilistic reasoning date back to antiquity. There was a particularly strong interest starting in the 12th century, with the work of the Scholastics, with the invention of the half-proof (so that two half-proofs are sufficient to prove guilt), the elucidation of moral certainty (sufficient certainty to act upon, but short of absolute certainty), the ...
For example, any theorem of classical propositional logic of the form has a proof consisting of an intuitionistic proof of followed by one application of double-negation elimination. Intuitionistic logic can thus be seen as a means of extending classical logic with constructive semantics.
Intuition, in contrast, is a more instantaneous, immediate understanding upon first being confronted with the math problem. Intuition is also distinct from implicit knowledge and learning, which inform intuition but are separate concepts. Intuition is the mechanism by which implicit knowledge is made available during an instance of decision-making.
Formal logic and mathematical rules are examples of rigorous consistency. An example would be: if all As are Bs and all Bs are Cs, then all As are Cs. While this standard is of high value, it is limited. For example, the premises are a priori (or self-apparent), requiring another test of truth to employ this criterion. Additionally, strict ...
Example: For a couple of weeks there will be a new manager in your workplace, therefore future interactions with this person is a certainty. The manager is assigning projects to the people in your department, every project returns a different commission which will directly influence your income.