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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 logical operator that specifies the quantity of specimens in the domain of discourse that satisfy an open formula, such as "all", "some", or "exists". quantifier shift fallacy A logical fallacy involving the incorrect interchange of the position of two quantifiers, or a quantifier and a modal operator, leading to invalid conclusions. quantity
Faith and rationality exist in varying degrees of conflict or compatibility. Rationality is based on reason or facts. Faith is belief in inspiration, revelation, or authority. The word faith sometimes refers to a belief that is held in spite of or against reason or empirical evidence, or it can refer to belief based upon a degree of evidential ...
According to Ayer, analytic statements are tautologies. A tautology is a statement that is necessarily true, true by definition, and true under any conditions. A tautology is a repetition of the meaning of a statement, using different words or symbols. According to Ayer, the statements of logic and mathematics are tautologies.
Taxonomy of Logical Fallacies; forall x: an introduction to formal logic, by P.D. Magnus, covers sentential and quantified logic; Translation Tips, by Peter Suber, for translating from English into logical notation; Math & Logic: The history of formal mathematical, logical, linguistic and methodological ideas. In The Dictionary of the History ...
Justice stood above these three to properly regulate the relations among them. Plato sometimes [c] lists holiness (hosiotes, eusebeia, aidos) amongst the cardinal virtues. He especially associates holiness with justice, but leaves their precise relationship unexplained. In Aristotle's Rhetoric, we read:
An alternative definition sees logic as the study of logical truths. [14] A proposition is logically true if its truth depends only on the logical vocabulary used in it. This means that it is true in all possible worlds and under all interpretations of its non-logical terms, like the claim "either it is raining, or it is not". [ 15 ]
In the philosophy of religion, a theodicy (/ θ iː ˈ ɒ d ɪ s i /; meaning 'vindication of God', from Ancient Greek θεός theos, "god" and δίκη dikē, "justice") is an argument that attempts to resolve the problem of evil that arises when all power and all goodness are simultaneously ascribed to God.