Zeno's paradoxes
Achilles never catches
Zeno's paradoxes are a set of philosophical problems attributed to the ancient Greek thinker Zeno of Elea, designed to challenge common assumptions about motion, space, and time.
The most famous include Achilles and the Tortoise, which argues that a faster runner can never overtake a slower one, and the Dichotomy, which suggests you can never reach a destination because you must first traverse infinite halfway points.
These thought experiments influenced mathematics and philosophy for millennia, particularly discussions of infinity and continuity.
Greek hero, mortal heel
- tortoiseLand-dwelling shelled reptile
- dichotomyDivision into contrasting parts
- arrowPointed shaft for shooting
- stadiumLarge venue for spectators
race · halving · bisection · infinite regress · catching up · overtaking · flying arrow · plurality
Without termination or boundary
- boundlessWithout any boundaries
- infinitesimalQuantity approaching zero
- limitlessWithout any boundaries
- unboundedHaving no limits
inexhaustible · infinite regress · ad infinitum · never-ending · continuum · denseness · uncountable · Cantor
Philosophy of existence's nature
- ontologyStudy of existence's nature
- epistemologyTheory of knowledge
- determinismDoctrine of causal necessity
- free willAutonomous choice capacity
causation · time · space · reality · appearance · logical argument · monism · pluralism
Process of approaching sameness
Greek thought before dialectics
- PlatoGreek philosopher, academy founder
- AristotleGreek founder of formal logic
- antiquityGreat age, ancient era
- dialecticsReasoning through contradiction
sophism · Greek philosophy · ancient Greece · classical philosophy · reductio ad absurdum · Socrates · atomism · Democritus
Directed rate of motion
- displacementRemoval from usual location
- trajectoryPath of moving object
- kinematicsStudy of movement itself
- dynamicsStudy of forces
continuous motion · rest · change · becoming · flux · space-time · position · traversal
Achilles
Greek hero, mortal heel
- tortoiseLand-dwelling shelled reptile
- dichotomyDivision into contrasting parts
- arrowPointed shaft for shooting
stadium · race · halving · bisection · infinite regress · catching up · overtaking · flying arrow · plurality · thought experiment
endless
Without termination or boundary
- boundlessWithout any boundaries
- infinitesimalQuantity approaching zero
- limitlessWithout any boundaries
unbounded · inexhaustible · infinite regress · ad infinitum · never-ending · continuum · denseness · uncountable · Cantor · aleph
metaphysics
Philosophy of existence's nature
- ontologyStudy of existence's nature
- epistemologyTheory of knowledge
- determinismDoctrine of causal necessity
free will · causation · time · space · reality · appearance · logical argument · monism · pluralism · change
convergence
Process of approaching sameness
sums · geometric series · summation · differential · integral
pre-Socratic
Greek thought before dialectics
- PlatoGreek philosopher, academy founder
- AristotleGreek founder of formal logic
- antiquityGreat age, ancient era
dialectics · sophism · Greek philosophy · ancient Greece · classical philosophy · reductio ad absurdum · Socrates · atomism · Democritus · Epicureans
velocity
Directed rate of motion
- displacementRemoval from usual location
- trajectoryPath of moving object
- kinematicsStudy of movement itself
dynamics · continuous motion · rest · change · becoming · flux · space-time · position · traversal · interval
- paradoxescatch-22, causal loop, self-contradiction, ship of Theseus, infinite regress
- Eleaticsbeing, monism, changelessness, what is
Zeno's paradoxesempiricism
Knowledge through observation
Aristotelian physics · atomism · dynamism · pragmatism · pluralism
Zeno's paradoxesempiricism
Knowledge through observation
pragmatism · experimental physics · kinematics · Newtonian mechanics