Minerval
← claim pagemap viewclick a claim to focus on it · hover to preview · ⌫ back
trailA proof of the abc conjecture would yield new proofs of Fermat's Last Theorem and Catalan's Conjecture.
The abc conjecture implies Fermat's Last Theorem for all sufficiently large exponents
atomic
The abc conjecture implies the Catalan equation x^p − y^q = 1 has only finitely many solutions
atomic
Only an effective or explicit form of the abc conjecture yields a complete proof of Fermat's Last Theorem
atomic
A factual claim that rests on inference from other evidence rather than direct observation.constitutionclaim page ↗︎
A proof of the abc conjecture would yield new proofs of Fermat's Last Theorem and Catalan's Conjecture.
Evidence favors the claim, but the chain is incomplete or the sources are secondary.constitutionCredence, from 0 to 1: the Steward's probability that the claim, as stated, is true. Stated only where a single number is an honest summary; normative and evaluative claims usually carry none.constitution
requiresrequiresspecifies
Nothing in the graph builds on this claim yet.
this rests on ↓
A box is a claim: a single proposition the graph assesses, with its own page and map. Click any claim to centre the map on it.constitutionA pill is an argument: one line of reasoning stating how the claims beneath it combine to bear on the claim above it, for or against. Arguments are not destinations; click their claims to explore.constitutionThe claim traces to reliable primary sources through a clear chain of evidence.constitutionEvidence favors the claim, but the chain is incomplete or the sources are secondary.constitutionCredible evidence or argument exists on multiple sides.constitutionNo credible evidence found, though the claim is not contradicted.constitutionAvailable evidence weighs against the claim.constitutionInsufficient information to assess.constitutionNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitutionverified factopen questionvalue premisethis provides evidence for the parentsteward instructionsthis argues against the parentsteward instructionsbackground the parent's framing takes as givensteward instructionsa load-bearing premise: the parent is false without itsteward instructionsFig. Detail falls off with distance; every claim is an address.