irrationals
Pi and its kin
Irrationals are numbers that cannot be expressed as a ratio of two integers—their decimal expansions go on forever without repeating.
Pi and the square root of 2 are classic examples.
The term also refers to irrational people or things: The irrationals in the group kept derailing the discussion.
In philosophy, irrationals may denote emotions, instincts, or other non-rational aspects of human nature.
Circle's fundamental ratio
- transcendentalBeyond ordinary experience
- algebraicRelating to variable mathematics
- surdUnutterable in ratios
- radicalRoot-indicating symbol
proof · theorem · nonrepeating · incommensurable · approximation · convergence · quadratic · logarithm
Occurring only once
- uncountableNot able to enumerate
- denseClosely packed together
- infiniteHaving no bounds
- transcendentalBeyond ordinary experience
algebraic · irreducible · incommensurable · continuum · cardinality · measure
Circle's fundamental ratio
Act of finding something
- proofDemonstration of truth
- diagonalSlanting line or path
- incommensurableLacking common unit
- scandalDisgraceful public affair
geometry · pentagon · dodecahedron · elements · magnitude · proportion
pi
Circle's fundamental ratio
- transcendentalBeyond ordinary experience
- algebraicRelating to variable mathematics
- surdUnutterable in ratios
radical · proof · theorem · nonrepeating · incommensurable · approximation · convergence · quadratic · logarithm · phi
nonrepeating
Occurring only once
- uncountableNot able to enumerate
- denseClosely packed together
- infiniteHaving no bounds
transcendental · algebraic · irreducible · incommensurable · continuum · cardinality · measure
pi
Circle's fundamental ratio
discovery
Act of finding something
- proofDemonstration of truth
- diagonalSlanting line or path
- incommensurableLacking common unit
scandal · geometry · pentagon · dodecahedron · elements · magnitude · proportion
- numbersone, two, four, three, 0
- number typesprime numbers, natural numbers, whole numbers, integers, real numbers
- Real Numbersintegers, fractions, decimals, rationals, number line
- math basicsaddition, subtraction, multiplication, numbers, fractions
- math termsnumbers, plus or minus, linear growth, square, operand
- algebravariables, equations, equation, polynomials, algebraic equations
irrationalsrationals
Numbers expressible as quotients
rational numbers · integers · whole numbers · fractions · natural numbers
irrationalsrationals
Numbers expressible as quotients
rationalists · reasonable people · logicians · reasoners · pragmatists
- irrational fears
- irrational numberNon-ratio real value
- irrational beliefsConvictions lacking logical basis
- irrational exuberanceUnjustified collective market optimism