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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 ...
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 ...
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.
Zero-knowledge proofs can be interactive, meaning that the prover and verifier exchange messages according to some protocol, or noninteractive, meaning that the verifier is convinced by a single prover message and no other communication is needed. In the standard model, interaction is required, except for trivial proofs of BPP problems. [3]
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]
Intuition was assessed by a sample of 11 Australian business leaders as a gut feeling based on experience, which they considered useful for making judgments about people, culture, and strategy. [45] Such an example likens intuition to "gut feelings", which — when viable [clarification needed] — illustrate preconscious activity. [46]
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