Hasty Briefsbeta

God Created the Real Numbers

13 days ago
  • #philosophy
  • #mathematics
  • #theology
  • 16th Century Italy debated whether science relates only to divine (natural) knowledge, while art pertains to human-made creations.
  • Leopold Kronecker's quote, 'God made the integers; all else is the work of man,' is examined in the context of divine vs. human creation.
  • The integers are seen as human abstractions, while the real numbers reflect the complexity and strangeness of divine or natural creation.
  • A rule of thumb is proposed: if something causes existential nausea or disorientation, it is divine; if it feels simple and universal, it is human-made.
  • Human creations, like the triangle choke in martial arts, emerge from both human ideas and pre-existing natural structures.
  • A hierarchy of creation is suggested: eternal nature → nature → humans → human ideas, with increasing 'weirdness' closer to eternal nature.
  • Kronecker's quote is interpreted as a critique of infinity, targeting Georg Cantor's work on transfinite numbers.
  • Cantor's ideas sparked theological debates, suggesting that reasoning about infinity might allow reasoning about God.
  • Descartes' Trademark Argument and Chesterton's view on mysticism are contrasted in their approaches to understanding the divine.
  • The essay concludes without a definitive conclusion, leaving the ideas as a 'vibes-based meandering.'