Deductive reasoning
Deductive Reasoning
1.The ancient Greeks used Deductive reasoning to solve many things. They learned theses things form the Egyptians and the Babylonians. They learned how to solve geometric constructions like circles, squares, and pyramids, they also learned how to determine they lengths of objects from the Babylonians by using Pythagorean theorem. Building upon what they learned from the Egyptians and Babylonians they found fundamental truths in geometry, and from these truths they mad propositions called axioms, through deductive reasoning the Greeks would use these axioms to find new theorems that could be proven. These theorems would be used to find solutions of both practical and abstract nature.
2. Thales: Thales of Miletus born in 624 B.C., was the first known Greek philosopher, scientist, and mathematician. After studying in Egypt, Thales was the first philosopher to introduce geometry to the Greeks. Thales discovered how to determine the height of a pyramid through indirect measurement. Thales was also credited with being the first to discover that a circle is bisected by its diameter, and the angle formed by the two radii that makes up the diameter is 180 degrees. But we have little evidence that he proved these axioms.
3. Pythagoras Pythagoras was born on the island of the Samos in the Aegean Sea, and was a well-known Greek philosopher and mathematician, however most of his life remains a mystery. Pythagoras has been credited with many advances in mathematics and geometry, but was not sure which theroms were actually his. Pythagoras was the founder of the Pythagorean brotherhood; the brotherhood was a school and secret society. The brotherhood was rooted in philosophical and religious beliefs. Pythagoras believed that everything in nature could be expressed numerically; he also defined many properties in the numbers.
4. Plato Plato was one of the greatest Greek philosophers. He placed a tremendous emphasis on the study of
1.The ancient Greeks used Deductive reasoning to solve many things. They learned theses things form the Egyptians and the Babylonians. They learned how to solve geometric constructions like circles, squares, and pyramids, they also learned how to determine they lengths of objects from the Babylonians by using Pythagorean theorem. Building upon what they learned from the Egyptians and Babylonians they found fundamental truths in geometry, and from these truths they mad propositions called axioms, through deductive reasoning the Greeks would use these axioms to find new theorems that could be proven. These theorems would be used to find solutions of both practical and abstract nature.
2. Thales: Thales of Miletus born in 624 B.C., was the first known Greek philosopher, scientist, and mathematician. After studying in Egypt, Thales was the first philosopher to introduce geometry to the Greeks. Thales discovered how to determine the height of a pyramid through indirect measurement. Thales was also credited with being the first to discover that a circle is bisected by its diameter, and the angle formed by the two radii that makes up the diameter is 180 degrees. But we have little evidence that he proved these axioms.
3. Pythagoras Pythagoras was born on the island of the Samos in the Aegean Sea, and was a well-known Greek philosopher and mathematician, however most of his life remains a mystery. Pythagoras has been credited with many advances in mathematics and geometry, but was not sure which theroms were actually his. Pythagoras was the founder of the Pythagorean brotherhood; the brotherhood was a school and secret society. The brotherhood was rooted in philosophical and religious beliefs. Pythagoras believed that everything in nature could be expressed numerically; he also defined many properties in the numbers.
4. Plato Plato was one of the greatest Greek philosophers. He placed a tremendous emphasis on the study of