Thursday, October 7, 2010

DEFINITION

-the statement of the essental properties of a certain thing.

Kinds:

  1. lexical
  2. extentional
  3. intentional
  4. contextual
  5. stipulative
  6. ostenive
  7. precising
  8. operational

CLASSIFICATION

-distinction, identification, and organization of two or more items or object.

Plato's theory of Universals

  1. universalia in re- universals in the thing
  2. universalia ante rem- universalia before the things
  3. universalia post rem- universalia after the things

Four different types of similarity

  • genetic similarity
  • structural similarity
  • functional similarity
  • apparent similarity

LANGUAGE

-an abstract system of word meaning and symbol of all aspect of culure. It includes speech written character, numerals, and symbols, gesturs etc.

Ingredients of situation

  • object
  • sign
  • interpreter

PERCEPTION

-the process of attaining awarenes or understanding of sensory information

THOUGHT

-act of thinking, which one thinks, opinions or reflection

CONCEPT

-really habits of expectation, serves as a representation of an object.


KNOWLEDGE

-it is an expertise and skills acqiured by a person through experience or education

Four matters of facts:

  1. something exist
  2. can be known
  3. something w/c matter
  4. something including the foregoing statement

other sources of knowledge

  • customs and tradition
  • sense perception
  • intuition

PHILOSOPHICAL ANALYSIS

-from the greek word 'analusis' means to breakdown

-it is the process of breakingdown topic to gain better understanding

Three main Ways Of Forming Analysis

  • explication- taking part by part
  • redefinition- simplifying term
  • illustration- taking its opposite view

Sunday, September 19, 2010

What is Pascal's Triangle?

In mathematics, Pascal's triangle is a triangular array of the binomial coefficients in a triangle. It is named after the French mathematician Blaise Pascal in much of the Western world, although other mathematicians studied it centuries before him in Greece, India, Persia, China, and Italy.[1]

The rows of Pascal's triangle are conventionally enumerated starting with row 0, and the numbers in each row are usually staggered relative to the numbers in the adjacent rows. A simple construction of the triangle proceeds in the following manner. On row 0, write only the number 1. Then, to construct the elements of following rows, add the number directly above and to the left with the number directly above and to the right to find the new value. If either the number to the right or left is not present, substitute a zero in its place. For example, the first number in the first row is 0 + 1 = 1, whereas the numbers 1 and 3 in the third row are added to produce the number 4 in the fourth row.

This construction is related to the binomial coefficients by Pascal's rule, which states that if

(x+y)^n=\sum_{k=0}^n{n \choose k}x^{n-k}y^{k}

then

 {n \choose k} = {n-1 \choose k-1} + {n-1 \choose k}

for any nonnegative integer n and any integer k between 0 and n.

Pascal's triangle has higher dimensional generalizations.