KnowraPythagoreanismLinked fromLinked fromThe 20 pages that link to Pythagoreanism, each with the reason it gives.All 20Broader topic 1Related 12Narrower topic 6Compared with 1Irrational numberRelated: Its emphasis on whole-number ratios frames the historical shock of incommensurable lengths.PythagorasNarrower topic: It names the community and tradition through which Pythagoras’s ideas persisted.VegetarianismRelated: Ancient Greek abstention from meat was long described as the Pythagorean way of life.Magna GraeciaRelated: Its communities show how intellectual movements took root in the cities of Magna Graecia.Just intonationNarrower topic: Its ideas helped frame musical ratios as evidence of mathematical order in nature.Pythagorean tuningNarrower topic: The tuning system became part of this movement’s account of cosmic numerical harmony.EmpedoclesRelated: Empedocles shares its concern with purification and the soul’s passage through lives.Pre-Socratic philosophyBroader topic: It offered mathematical structure, rather than a single material substance, as the key to cosmic order.Middle PlatonismRelated: Middle Platonists often used Pythagorean ideas to interpret Plato’s metaphysics.Platonic solidRelated: The tetrahedron, cube, and other regular forms figured in ancient mathematical speculation.Aristarchus of SamosRelated: Some earlier Pythagoreans had imagined Earth moving rather than resting at the cosmos’s center.QuadriviumRelated: Its account of numerical harmony helped shape the quadrivium’s mathematical outlook.OrpheusRelated: Ancient authors linked Pythagorean ideas about the soul and ritual purity with Orphic teachings.Hippocratic OathRelated: Some scholars have linked the oath’s restrictions to Pythagorean moral ideas.NumerologyRelated: Its number-centered worldview helped shape later ideas about numbers carrying symbolic meaning.AristoxenusCompared with: Aristoxenus challenged the priority Pythagorean theorists gave numerical ratios in explaining intervals.NeopythagoreanismNarrower topic: Neopythagoreanism presents itself as a revival of this earlier tradition.Apollonius of TyanaNarrower topic: Philostratus portrays Apollonius as following Pythagorean discipline.Square root of 2Related: The discovery of incommensurable lengths challenged its belief that all quantities were rational.Aliquot sumNarrower topic: The Pythagoreans studied perfect and amicable numbers through divisor sums.
KnowraPythagoreanismLinked fromLinked fromThe 20 pages that link to Pythagoreanism, each with the reason it gives.All 20Broader topic 1Related 12Narrower topic 6Compared with 1Irrational numberRelated: Its emphasis on whole-number ratios frames the historical shock of incommensurable lengths.PythagorasNarrower topic: It names the community and tradition through which Pythagoras’s ideas persisted.VegetarianismRelated: Ancient Greek abstention from meat was long described as the Pythagorean way of life.Magna GraeciaRelated: Its communities show how intellectual movements took root in the cities of Magna Graecia.Just intonationNarrower topic: Its ideas helped frame musical ratios as evidence of mathematical order in nature.Pythagorean tuningNarrower topic: The tuning system became part of this movement’s account of cosmic numerical harmony.EmpedoclesRelated: Empedocles shares its concern with purification and the soul’s passage through lives.Pre-Socratic philosophyBroader topic: It offered mathematical structure, rather than a single material substance, as the key to cosmic order.Middle PlatonismRelated: Middle Platonists often used Pythagorean ideas to interpret Plato’s metaphysics.Platonic solidRelated: The tetrahedron, cube, and other regular forms figured in ancient mathematical speculation.Aristarchus of SamosRelated: Some earlier Pythagoreans had imagined Earth moving rather than resting at the cosmos’s center.QuadriviumRelated: Its account of numerical harmony helped shape the quadrivium’s mathematical outlook.OrpheusRelated: Ancient authors linked Pythagorean ideas about the soul and ritual purity with Orphic teachings.Hippocratic OathRelated: Some scholars have linked the oath’s restrictions to Pythagorean moral ideas.NumerologyRelated: Its number-centered worldview helped shape later ideas about numbers carrying symbolic meaning.AristoxenusCompared with: Aristoxenus challenged the priority Pythagorean theorists gave numerical ratios in explaining intervals.NeopythagoreanismNarrower topic: Neopythagoreanism presents itself as a revival of this earlier tradition.Apollonius of TyanaNarrower topic: Philostratus portrays Apollonius as following Pythagorean discipline.Square root of 2Related: The discovery of incommensurable lengths challenged its belief that all quantities were rational.Aliquot sumNarrower topic: The Pythagoreans studied perfect and amicable numbers through divisor sums.