Podcast
Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
number theory, algebra, geometry, and analysis
What does most mathematical activity involve?
What does most mathematical activity involve?
the discovery of properties of abstract objects and the use of pure reason to prove them
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
a succession of applications of deductive rules to already established results
In which disciplines is mathematics essential?
In which disciplines is mathematics essential?
What are the fundamental truths of mathematics independent from?
What are the fundamental truths of mathematics independent from?
What are the topics included in mathematics?
What are the topics included in mathematics?
What is the etymology of the word mathematics?
What is the etymology of the word mathematics?
What is the meaning of the adjective mathēmatikós (μαθηματικός)?
What is the meaning of the adjective mathēmatikós (μαθηματικός)?
What did mathÄ“matikḗ tékhnÄ“ (μαθηματικὴ Ï„Îχνη) mean in Ancient Greek?
What did mathÄ“matikḗ tékhnÄ“ (μαθηματικὴ Ï„Îχνη) mean in Ancient Greek?
What did the term mathematics commonly mean in Latin and English until around 1700?
What did the term mathematics commonly mean in Latin and English until around 1700?
What was the first practical application of the problem of integer factorization?
What was the first practical application of the problem of integer factorization?
In Ancient Greek, what did the word máthēma (μάθημα) mean?
In Ancient Greek, what did the word máthēma (μάθημα) mean?
What were the two main schools of thought in Pythagoreanism known as?
What were the two main schools of thought in Pythagoreanism known as?
Who was likely the first to constrain the use of the word 'mathematics' to just the study of arithmetic and geometry?
Who was likely the first to constrain the use of the word 'mathematics' to just the study of arithmetic and geometry?
What appeared first in Greek mathematics, most notably in Euclid's Elements?
What appeared first in Greek mathematics, most notably in Euclid's Elements?
What led to a correlated increase in the development of both mathematical innovations and scientific discoveries?
What led to a correlated increase in the development of both mathematical innovations and scientific discoveries?
