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Modern Philosophies of Math Flashcards | StudBud
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Modern Philosophies of Math
Modern Philosophies of Math
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Formalism, Platonism, Euclid Myth, David Hilbert, Russell Paradox
Flashcards
23 cards
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Questions
23
Answers
1
How many of Hilbert's problems, out of 23, were presented?
20
8
12
10
2
Who is this?
Bertrand Russell
Alfred North Whitehead
David Hilbert
David Leask
3
Which of these ideas did David Hilbert not discover or help develop?
Logicism
Proof Theory
Invariant Theory
Metamathematics
4
Hilbert's 23 questions were designed to serve as examples of solutions that would do what?
renew interest in the field of math
encourage mathematical research
develop theories of geometry
raise awareness of mathematical development
5
What is the name of the famous textbook written by Euclid?
Seasons
Trigonometry
Elements
Geometry
6
How many math problems did Hilbert publish to be solved in the 20th century?
32
21
23
10
7
The Euclidean myth is that the
Elements
contains truths about what?
The Universe
Geometry
Space
Earth
8
Which mathematician founded modern Formalism?
Matthew Form
Plato
Bertrand Russell
David Hilbert
9
The
Principia Mathematica
showed math is based on what?
Time
Logic
Numbers
Distance
10
If a set contains all sets that don't contain themselves, does it contain itself?
Yes
No
11
Hilbert's problems were presented at the Congress of Mathematicians in ____ .
London
Prague
Paris
Vienna
12
Who is this?
Plutarch
Plato
Euclid
Sophocles
13
Who wrote the
Principia Mathematica?
Bertrand Russell
Alfred North Whitehead
Euclid
David Hilbert
14
Who is this?
Euclid
Bertrand Russell
Alfred North Whitehead
David Hilbert
15
What was the
Principia
about?
the importance of math
modern philosophies of math
the discovery of calculus
the foundations of math
16
Russell's paradox showed ____ is not suitable for the foundation of math?
Set Theory
Number Theory
Platonism
Formalism
17
Who discovered the Russell Paradox?
Russell Westbrook
Bill Russell
Bertrand Russell
Russell Wilson
18
The mathematician and Formalist David Hilbert was of what nationality?
Dutch
American
British
German
19
The
Principia Mathematica
defined what at the most basic level?
Derivatives
Calculus
Mathematics
The Universe
20
What philosopher is Platonism derived from?
Socrates
Aristotle
Plato
Plutarch
21
The theory of ____ states math was invented by humans
Calculus
Platonism
Algebra
Formalism
22
Which one of the following of Hilbert's 23 questions remains unsolved?
#1
#19
#5
#23
23
Under formalist theory, the abstract concepts of math _____ without interpretation
exist
are meaningless
