Patterns & Paradoxes

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

Chaotic pattern Quantum noise Stochastic system Random walk None

What is the key feature of a fractal pattern?

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

What is Zeno’s Paradox intended to demonstrate?

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

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

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

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

Recursive number Integer Irrational number Prime number 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 A line can fold into a cube Infinite spheres can fit in a finite box None

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

Harmonic sequence Fibonacci sequence Geometric progression Prime series None

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

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

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

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

Which shape has infinite perimeter but finite area?

Möbius strip Koch snowflake Sierpinski triangle Torus None

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