Global Information Lookup Global Information

Heuristic argument information


A heuristic argument is an argument that reasons from the value of a method or principle that has been shown experimentally (especially through trial-and-error) to be useful or convincing in learning, discovery and problem-solving, but whose line of reasoning involves key oversimplifications that make it not entirely rigorous.[1] A widely used and important example of a heuristic argument is Occam's Razor.

It is a speculative, non-rigorous argument that relies on analogy or intuition, and that allows one to achieve a result or an approximation that is to be checked later with more rigor. Otherwise, the results are generally to be doubted. It is used as a hypothesis or a conjecture in an investigation, though it can also be used as a mnemonic as well.[2]

  1. ^ "Heuristic argument". The Prime Glossary. Retrieved October 21, 2019.
  2. ^ Brodsky, Stanley J.; Ellis, John; Karliner, Marek (1988). "Chiral symmetry and the spin of the proton" (PDF). Physics Letters B. 206 (2): 309–315. Bibcode:1988PhLB..206..309B. doi:10.1016/0370-2693(88)91511-0. OSTI 1448514. Archived (PDF) from the original on 2022-10-10.

and 22 Related for: Heuristic argument information

Request time (Page generated in 0.855 seconds.)

Heuristic argument

Last Update:

A heuristic argument is an argument that reasons from the value of a method or principle that has been shown experimentally (especially through trial-and-error)...

Word Count : 195

Heuristic

Last Update:

A heuristic (/hjʊˈrɪstɪk/; from Ancient Greek εὑρίσκω (heurískō) 'method of discovery', or heuristic technique (problem solving, mental shortcut, rule...

Word Count : 8771

Collatz conjecture

Last Update:

the geometric mean of the ratios of outcomes is 3/4.) This yields a heuristic argument that every Hailstone sequence should decrease in the long run, although...

Word Count : 6991

Hook length formula

Last Update:

formula can be understood intuitively using the following heuristic, but incorrect, argument suggested by D. E. Knuth. Given that each element of a tableau...

Word Count : 5141

Availability heuristic

Last Update:

The availability heuristic, also known as availability bias, is a mental shortcut that relies on immediate examples that come to a given person's mind...

Word Count : 5769

Carmichael number

Last Update:

X}}\right)} for some constant k 2 {\displaystyle k_{2}} . He further gave a heuristic argument suggesting that this upper bound should be close to the true growth...

Word Count : 3570

Special relativity

Last Update:

is problematic to rely on Maxwell's equations for the heuristic mass–energy argument. The argument in his 1905 paper can be carried out with the emission...

Word Count : 21423

Fermat number

Last Update:

interval around N is prime with probability 1 / ln N. If one uses the heuristic that a Fermat number is prime with the same probability as a random integer...

Word Count : 4579

Empirical relationship

Last Update:

tractable than some theories, and are able to yield results. Empiricism Heuristic argument Power law Hall, Carl W.; Hinman, George W. (1983), Dictionary of Energy...

Word Count : 274

Planck units

Last Update:

are in fact simultaneously applicable is open to debate. (The same heuristic argument simultaneously motivates the Planck mass.) The Planck length is a...

Word Count : 6007

Heavy traffic approximation

Last Update:

traffic condition Thus, the heavy traffic limit theorem (Theorem 1) is heuristically argued. Formal proofs usually follow a different approach which involve...

Word Count : 1849

Mertens conjecture

Last Update:

\log \log n)^{5/4},} which was affirmed by Ng (2004), based on a heuristic argument, that assumed the Riemann hypothesis and certain conjectures about...

Word Count : 1344

Primality test

Last Update:

would run in Õ((log n)3) if Agrawal's conjecture is true; however, a heuristic argument by Hendrik Lenstra and Carl Pomerance suggests that it is probably...

Word Count : 3792

Perfect number

Last Update:

difficult question". More recently, Carl Pomerance has presented a heuristic argument suggesting that indeed no odd perfect number should exist. All perfect...

Word Count : 5016

Mathematical maturity

Last Update:

rigor is infused with a refined intuition. In this ideal state, every heuristic argument naturally suggests its rigorous counterpart, and vice versa. This...

Word Count : 632

Graph removal lemma

Last Update:

set of H {\displaystyle H} . The straightforward formalization of above heuristic claim is as follows. Let H {\displaystyle H} be a graph on h {\displaystyle...

Word Count : 5001

Argument from ignorance

Last Update:

Argument from ignorance (from Latin: argumentum ad ignorantiam), also known as appeal to ignorance (in which ignorance represents "a lack of contrary evidence")...

Word Count : 1021

AKS primality test

Last Update:

{O}}(\log(n)^{3})} if Agrawal's conjecture were true; however, a heuristic argument by Pomerance and Lenstra suggested that it is probably false. The...

Word Count : 2448

Beta distribution

Last Update:

θ, left end a = 0,and right end b = 1). Berger et al. also give a heuristic argument that Beta(1/2,1/2) could indeed be the exact Berger–Bernardo–Sun reference...

Word Count : 40369

Argumentation theory

Last Update:

Argumentation theory is the interdisciplinary study of how conclusions can be supported or undermined by premises through logical reasoning. With historical...

Word Count : 7676

Argument map

Last Update:

An argument map or argument diagram is a visual representation of the structure of an argument. An argument map typically includes all the key components...

Word Count : 6040

Inductive reasoning

Last Update:

of a deductive argument is certain given the premises are correct; in contrast, the truth of the conclusion of an inductive argument is at best probable...

Word Count : 8326

PDF Search Engine © AllGlobal.net