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Temporal finitism is the idea that time is finite. The philosophy of Aristotle, expressed in such works as his ''Physics'', held that although space was finite, with only void existing beyond the outermost sphere of the heavens, time was infinite. This caused problems for mediaeval Islamic, Jewish, and Christian philosophers, who were unable to reconcile the Aristotelian conception of the eternal with the Abrahamic view of Creation. ==Medieval philosophy== In contrast to ancient Greek philosophers who believed that the universe had an infinite past with no beginning, medieval philosophers and theologians developed the concept of the universe having a finite past with a beginning. This view was inspired by the creation doctrine shared by the three Abrahamic religions: Judaism, Christianity and Islam.〔 Prior to Maimonides, it was held that it was possible to prove, philosophically, creation theory. The Kalam cosmological argument held that creation was provable, for example. Maimonides himself held that neither creation nor Aristotle's infinite time were provable, or at least that no proof was available. (According to scholars of his work, he didn't make a formal distinction between unprovability and the simple absence of proof.) Thomas Aquinas was influenced by this belief, and held in his Summa Theologica that neither hypothesis was demonstrable. Some of Maimonides' Jewish successors, including Gersonides and Crescas, conversely held that the question was decidable, philosophically.〔 John Philoponus was probably the first to use the argument that infinite time is impossible, establishing temporal finitism. He was followed by many others including Al-Kindi, Saadia Gaon, Al-Ghazali, St. Bonaventure and Immanuel Kant (in his First Antinomy). The argument was revisited once again by William Lane Craig in light of the idea of transfinite numbers in modern mathematics. Philoponus' arguments for temporal finitism were severalfold. ''Contra Aristotlem'' has been lost, and is chiefly known through the citations used by Simplicius of Cilicia in his commentaries on Aristotle's ''Physics'' and ''De Caelo''. Philoponus' refutation of Aristotle extended to six books, the first five addressing ''De Caelo'' and the sixth addressing ''Physics'', and from comments on Philoponus made by Simplicius can be deduced to have been quite lengthy. A full exposition of Philoponus' several arguments, as reported by Simplicius, can be found in Sorabji, listed in Further reading. One such argument was based upon Aristotle's own theorem that there were not multiple infinities, and ran as follows: If time were infinite, then as the universe continued in existence for another hour, the infinity of its age since creation at the end of that hour must be one hour greater than the infinity of its age since creation at the start of that hour. But since Aristotle holds that such treatments of infinity are impossible and ridiculous, the world cannot have existed for infinite time. Philoponus' works were adopted by many, most notably; early Muslim philosopher, Al-Kindi (Alkindus); the Jewish philosopher, Saadia Gaon (Saadia ben Joseph); and the Muslim theologian, Al-Ghazali (Algazel). They used his two logical arguments against an infinite past, the first being the "argument from the impossibility of the existence of an actual infinite", which states: :"An actual infinite cannot exist." :"An infinite temporal regress of events is an actual infinite." :"(unicode:∴) An infinite temporal regress of events cannot exist." The second argument, the "argument from the impossibility of completing an actual infinite by successive addition", states:〔 :"An actual infinite cannot be completed by successive addition." :"The temporal series of past events has been completed by successive addition." :"(unicode:∴) The temporal series of past events cannot be an actual infinite." Both arguments were adopted by later Christian philosophers and theologians, and the second argument in particular became more famous after it was adopted by Immanuel Kant in his thesis of the first antinomy concerning time.〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Temporal finitism」の詳細全文を読む スポンサード リンク
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