Infinity (philosophy)  

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Train wreck at Montparnasse (October 22, 1895) by Studio Lévy and Sons.
Train wreck at Montparnasse (October 22, 1895) by Studio Lévy and Sons.

In philosophy, infinity can be attributed to infinite dimensions, as for instance in Kant's first antinomy. In both theology and philosophy, infinity is explored in articles such as the Ultimate, the Absolute, God, and Zeno's paradoxes. In Greek philosophy, for example in Anaximander, 'the Boundless' is the origin of all that is. He took the beginning or first principle to be an endless, unlimited primordial mass (ἄπειρον, apeiron). In Judeo-Christian theology, for example in the work of theologians such as Duns Scotus, the infinite nature of God invokes a sense of being without constraint, rather than a sense of being unlimited in quantity. In ethics infinity plays an important role designating that which cannot be defined or reduced to knowledge or power.

Structure of infinity, examples from metaphysics

  • Eternity: linguistically the opposite of finite, having no edges, limits, an end: How deep is the sky? How can I write down the largest possible number?
  • Indefinite: How could God be sure that there is no-one greater?
  • Circularity: The line defining a circle does not have an end.
  • Recursion: See semantic satiation for instance. Lack of utter reason. Why is that? Apparently, a relevant question after any answer.

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