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    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

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    Euclid — Carmelics
    Thinkers/Euclid
    Euclid

    Euclid

    ancientAncient Greek Mathematics

    -325 – -265

    Euclid of Alexandria was an ancient Greek mathematician active around 300 BCE, best known as the author of the Elements, the foundational treatise on geometry. His axiomatic method shaped mathematical reasoning and philosophical approaches to demonstration for over two millennia, influencing thinkers from Aristotle to Spinoza.

    WWikipedia

    Notable Achievements

    1

    Authored the Elements, systematizing geometry through axiomatic deduction

    2

    Formulated Euclidean geometry and the five postulates

    3

    Proved the infinitude of prime numbers

    4

    Developed the Euclidean algorithm for finding greatest common divisors

    5

    Established the axiomatic method as a model for rigorous reasoning

    Positions & Arguments

    (2)

    Modality & Possibility

    claim

    Metric geometry is neither true nor false.

    Truth & Knowledge

    claim

    Metric geometry is neither true nor false.

    claim

    For any real number x, the terms of a conditionally convergent series can be rearranged so that x is the sum of the rearranged series.

    At a Glance

    Ideas

    2

    Topics

    2

    Era

    ancient

    Tradition

    Ancient Greek Mathematics

    Topic Influence

    Truth & Knowledge2
    Modality & Possibility1

    Related Thinkers

    David Lewis2 sharedImmanuel Kant2 sharedAristotle2 sharedBrian Skyrms2 sharedBertrand Russell2 sharedDavid Hume2 sharedPlato2 sharedStathis Psillos2 shared

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    Explore Truth & Knowledge→See Modality & Possibility→