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Perspectives on Maths TOK Flashcards | StudBud
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Perspectives on Maths TOK
Perspectives on Maths TOK
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1
What analogy do Formalists use to explain mathematics?
A physical object
A scientific law
A universal language
A game with defined rules
2
Mathematical concepts (numbers, functions) are abstract constructs that do not exist outside human thought.
False
True
3
What is the main claim of mathematical Platonism?
Mathematics is a human invention.
Mathematics is only valid in scientific contexts.
Mathematics changes based on culture.
Mathematics exists independently in human minds.
4
A key criticism of the Platonist perspective is that
Mathematics is too abstract to be real
Mathematical objects cannot be observed like physical objects
Mathematical rules are arbitrary
Mathematics does not work in real life
5
David Hilbert is associated with the Platonist perspective on mathematics.
False
True
6
Why do some believe mathematics reflects an underlying reality?
Mathematics changes based on personal beliefs.
Its success in predicting and explaining natural phenomena.
Different cultures have different mathematical systems.
It is a language created purely by humans.
7
Who is a major advocate of the Formalist perspective in mathematics?
Plato
Max Tegmark
Isaac Newton
David Hilbert
8
According to the Formalist perspective, mathematics is best compared to
A natural law
A universal truth
A physical object
A game with rules
9
Both perspectives agree that mathematics plays an essential role in understanding the world.
True
False
10
What is an argument against mathematics being purely invented?
Mathematics can predict natural phenomena like black holes
Numbers and mathematical objects exist physically
Mathematics is only useful in certain fields
Different cultures use different mathematical systems
11
The Platonist perspective suggests that mathematical truths would still exist even if there were no humans.
True
False
12
The success of mathematics in predicting real-world phenomena is an argument in favor of the Platonist view.
False
True
13
Why do some argue that mathematics is not an invention?
It changes over time based on social needs
Different cultures have different ways of counting
Mathematics is just a set of agreed-upon symbols
It is used in physics to explain fundamental laws
14
Which statement best reflects the Platonist view of mathematics?
Mathematical concepts only exist because humans create symbols for them.
Without human minds, mathematical laws would cease to exist.
Mathematics is purely a human invention, shaped by culture and society.
Mathematical truths exist independently of human experience and are found
15
Which statement challenges the Platonist view of mathematics?
The universe itself is a mathematical structure.
Mathematical truths exist outside human experience.
Mathematics is discovered, just like fossils or physical laws.
Mathematics is like chess; its rules are useful,don’t exist independently.
16
How does culture influence mathematics?
It has no impact on mathematics, which exists independently.
It shapes how mathematics is applied
It determines whether mathematical truths, like "2 + 2 = 4," are valid.
It changes the fundamental laws of mathematics over time.
17
Mathematics is always created, not discovered, according to the Platonist perspective.
False
True
