Patterns & Paradoxes

What is a pattern that appears random but is generated by deterministic rules called?

Chaotic pattern Stochastic system Random walk Quantum noise None

What does Gödel’s incompleteness theorem reveal about math systems?

Logic can resolve all contradictions Some truths cannot be proven within the system All equations are solvable Infinity can be reached numerically None

Which shape has infinite perimeter but finite area?

Torus Sierpinski triangle Möbius strip Koch snowflake None

In what sequence does each number equal the sum of the two preceding ones?

Harmonic sequence Prime series Fibonacci sequence Geometric progression None

What does the Banach–Tarski paradox claim?

A circle is made of infinite points, each with area A sphere can be split and reassembled into two identical spheres Infinite spheres can fit in a finite box A line can fold into a cube None

What is the name of the paradox where the probability of shared birthdays increases rapidly in small groups?

The Monty Hall Paradox The Birthday Paradox Schrödinger’s Paradox The Inclusion Paradox None

What is Zeno’s Paradox intended to demonstrate?

Time is non-linear Motion is an illusion due to infinite divisibility The universe is finite Light moves instantaneously None

What paradox describes a situation where trying to avoid a problem causes it?

Fermi Paradox The Paradox of Plenty The Catch-22 paradox The Butterfly Effect None

What is the mathematical term for a number pattern that never ends and never repeats?

Prime number Integer Irrational number Recursive number None

What is the key feature of a fractal pattern?

Randomness in distribution Linear repetition Self-similarity at different scales Complete symmetry None

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