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An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word ἀξίωμα ( axíōma ), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'.
Assumption Cathedral (disambiguation) Church of the Assumption (disambiguation) Debt Assumption, the US policy under Alexander Hamilton to assume the war debt of some states; Entering heaven alive; L'Assomption River, Quebec, Canada; List of churches consecrated to Santa Maria Assunta ("Assunta" is the Italian for Assumption) Presupposition ...
Entering heaven alive (called by various religions "ascension", "assumption", or "translation") is a belief held in various religions. Since death is the normal end to an individual's life on Earth and the beginning of afterlife , entering heaven without dying first is considered exceptional and usually a sign of a deity 's special recognition ...
The Assumption of Mary is one of the four Marian dogmas of the Catholic Church. Pope Pius XII defined it on 1 November 1950 in his apostolic constitution Munificentissimus Deus as follows: We pronounce, declare, and define it to be a divinely revealed dogma: that the Immaculate Mother of God, the ever-Virgin Mary, having completed the course of ...
A proposition that has not been proved but is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for further mathematical work. Proofs employ logic expressed in mathematical symbols, along with natural language which usually admits some ambiguity.
Aristotle's intended meaning is closely tied to the type of dialectical argument he discusses in his Topics, book VIII: a formalized debate in which the defending party asserts a thesis that the attacking party must attempt to refute by asking yes-or-no questions and deducing some inconsistency between the responses and the original thesis.
The above argument works because the exact same reasoning could be applied if the alternative assumption, namely, that the first object is blue, were made, or, similarly, that the words 'red' and 'blue' can be freely exchanged in the wording of the proof. As a result, the use of "without loss of generality" is valid in this case.
The assumption that 'is' can lead to 'ought' is an important component of the philosophy of Roy Bhaskar. [11] Philosophically normative statements and norms, as well as their meanings, are an integral part of human life. They are fundamental for prioritizing goals and organizing and planning.