MAT119Asst. Prof. Ferhat PAKDAMAR

(Civil Engineer)M Blok - M106

pakdamar@gtu.edu.tr

Gebze Technical UniversityDepartment of Architecture

Fall – 2015_2016Week 3

Proofs- Conditional Statements - Basic Properties of Algebra- Inductive vs. Deductive Reasoning- An Approach to Proofs

- Reading of basic notations in mathematics

Conditional Statements

Conditional Statements

Different kinds of reasoning in Geometry?kinds of reasoning 1.intuition reasoning 2.analogy

Analogy is a cognitive process of transferring information or meaning from a particular subject (the analogue or source) to another particular subject (the target), or a linguistic expression corresponding to such a process. 

3.inductive reasoning 4.deductive reasoning 5.abstract reasoning

Logical Set PropertiesThe term "Boolean algebra" honors George Boole (1815–1864), a self-educated English mathematician. He introduced the algebraic system initially in a small pamphlet, The Mathematical Analysis of Logic, published in 1847 in response to an ongoing public controversy between Augustus De Morgan and William Hamilton, and later as a more substantial book, The Laws of Thought, published in 1854.