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In philosophy and theology, infinity is explored in articles under headings such as the Absolute, God, and Zeno's paradoxes. In Greek philosophy , for example in Anaximander , 'the Boundless' is the origin of all that is.
Hellenistic philosophy is Ancient Greek philosophy corresponding to the Hellenistic period in Ancient Greece, from the death of Alexander the Great in 323 BC to the Battle of Actium in 31 BC. [1] The dominant schools of this period were the Stoics , the Epicureans and the Skeptics .
The mathematical concept of infinity refines and extends the old philosophical concept, in particular by introducing infinitely many different sizes of infinite sets. Among the axioms of Zermelo–Fraenkel set theory, on which most of modern mathematics can be developed, is the axiom of infinity, which guarantees the existence of infinite sets. [1]
Anaximenes of Miletus (/ ˌ æ n æ k ˈ s ɪ m ə ˌ n iː z /; Ancient Greek: Ἀναξιμένης ὁ Μιλήσιος, romanized: Anaximenēs ho Milēsios; c. 586/585 – c. 526/525 BC) was an Ancient Greek, Pre-Socratic philosopher from Miletus in Anatolia (modern-day Turkey).
Ancient Greek philosophy arose in the 6th century BC.Philosophy was used to make sense of the world using reason. It dealt with a wide variety of subjects, including astronomy, epistemology, mathematics, political philosophy, ethics, metaphysics, ontology, logic, biology, rhetoric and aesthetics.
Democritus (/ d ɪ ˈ m ɒ k r ɪ t ə s /, dim-OCK-rit-əs; Greek: Δημόκριτος, Dēmókritos, meaning "chosen of the people"; c. 460 – c. 370 BC) was an Ancient Greek pre-Socratic philosopher from Abdera, primarily remembered today for his formulation of an atomic theory of the universe. [2] Democritus wrote extensively on a wide ...
Heraclitus (/ ˌ h ɛr ə ˈ k l aɪ t ə s /; Ancient Greek: Ἡράκλειτος Hērákleitos; fl. c. 500 BC) was an ancient Greek pre-Socratic philosopher from the city of Ephesus, which was then part of the Persian Empire.
Zeno's paradoxes are a series of philosophical arguments presented by the ancient Greek philosopher Zeno of Elea (c. 490–430 BC), [1] [2] primarily known through the works of Plato, Aristotle, and later commentators like Simplicius of Cilicia. [2]