15 Questions
Which major subdiscipline of mathematics is concerned with the study of numbers and their properties?
Number theory
In modern mathematics, what are entities stipulated to have certain properties called?
Axioms
What type of reasoning is predominantly used in mathematical activity to prove properties of abstract objects?
Deductive reasoning
What does a proof in mathematics consist of?
Succession of applications of deductive rules to already established results
Which academic discipline considers the fundamental truths of mathematics to be independent from any scientific experimentation?
Mathematics
What does mathematics extensively contribute to in various fields such as natural sciences, engineering, and finance?
Modeling phenomena
What does the word 'mathematics' mean in Ancient Greek?
That which is learnt or what one gets to know
Which of the following best describes the Pythagoreans' use of the term 'mathēmatikoi'?
Learners in the modern sense
What significant change in meaning occurred with the term 'mathematics' around 1500 to 1800?
It shifted from 'astrology' to 'mathematics'
What did the foundational crisis of mathematics at the end of the 19th century lead to?
Introduction of the axiomatic method
Which two main fields were primarily divided at the beginning of mathematics?
Natural numbers and fractions
When did algebra and infinitesimal calculus emerge as new fields in mathematics?
16th and 17th centuries
What is the significance of Euclid's Elements in the history of mathematics?
First appearance of a proof and mathematical rigour
'Máthēma' in Ancient Greek means:
'That which is learnt'
'Mathēmatikós' (μαθηματικός) means:
'Related to learning'
Explore the topics of numbers, formulas, shapes, and quantities in mathematics. Delve into the subdisciplines of number theory, algebra, geometry, and analysis to gain a deeper understanding of this diverse academic discipline.
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