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As the study of argument is of clear importance to the reasons that we hold things to be true, logic is of essential importance to rationality. Arguments may be logical if they are "conducted or assessed according to strict principles of validity", [1] while they are rational according to the broader requirement that they are based on reason and knowledge.
A similar version states that "rationality consists in responding correctly to beliefs about reasons". So it is rational to bring an umbrella if the agent has strong evidence that it is going to rain. But without this evidence, it would be rational to leave the umbrella at home, even if, unbeknownst to the agent, it is going to rain.
The definition of man as a rational animal was common in scholastical philosophy. [6] Catholic Encyclopedia states that this definition means that "in the system of classification and definition shown in the Arbor Porphyriana, man is a substance, corporeal, living, sentient, and rational". [6]
In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers ; they may be taken in any field K .
Ratio decidendi (US: / ˌ r eɪ ʃ i oʊ ˌ d ɪ s aɪ ˈ d ɛ n d i,-d aɪ /; Latin plural rationes decidendi) is a Latin phrase meaning "the reason" or "the rationale for the decision". The ratio decidendi is "the point in a case that determines the judgement" [1] or "the principle that the case establishes".
It forbids social rules that require one individual to serve the interests of others. It entitles every human to be treated as a value rational end in himself, never to be used as means to ends pursued by others. [5]: 32–33, 333 Nozick's statement of this utilitarian principle invalidated Rawls's justice as fair redistribution by definition.
In contrast to faith meaning blind trust, in the absence of evidence, even in the teeth of evidence, Alister McGrath quotes Oxford Anglican theologian W. H. Griffith-Thomas (1861–1924), who states faith is "not blind, but intelligent" and "commences with the conviction of the mind based on adequate evidence", which McGrath sees as "a good and ...