History and Roots
What year and where did we see the oldest evidence of mathematical thought? (Specific)
70,000 BCE in Blombos Cave
Which school of thought emphasizes the rule of mental construction in mathematical activities?
Intuitionism
Who said "any one who has studied geometry is infinitely quicker of apprehension than one who has not."
Plato
This theorem is used to find the length of the hypotenuse in a right angled triangle
Pythagorean Theorem
Which ancient civilizations began to lay the foundations of mathematical thought? (3)
Mesopotamia, Egypt, India
What school of thought views mathematics as a formal system of symbols and rules?
Formalism
Who is known as the father of geometry?
Euclid
This invention by Descartes serves as a way to graphically represent algebraic and geometric concepts
Cartesian Plane
Which philosophers grappled with questions about the nature of mathematical knowledge and its relationship to human cognition? (3)
René Descartes, Gottfried Leibniz, and Immanuel Kant
This school of thought can be used to equip a person with better decision making skills, problem solving skills, as well as the ability to analyze complexities
Logicism
René Descartes
What is the term used for the ancient practical mathematical knowledge that the Greeks gathered and extended?
Geometry
In what centuries did we witness the emergence of competing schools of thought within the philosophy of mathematics?
19th and 20th centuries
Who founded logicism?
Gottlob Frege
Who created the term "Transcendental Idealism" and applied its meaning to mathematics?
Immanuel Kant
What was the term given by Immanuel Kant to describe the combination between rationalism and empiricism
Transcendental Idealism
Which Islamic scholars preserved and expanded upon the mathematical knowledge of the ancient days?
Al-Khwarizmi and Al-Kindi
Who primarily developed intuitionism
L.E.J. Brouwer
Who discovered that celestial bodies moved in accordance with mathematical ratios?
Pythagoras
What was the name of Immanuel Kant's famous work he wrote in 1781?
Critique of Pure Reason