Also people say that Euclid of Alexandria is the son of Naucrates, but there is no proof of this assumption. ... That is the big reason why there is little known about Euclid of Alexandria. ... Euclid laid down some of the conventions central to modern mathematical proofs. ... As part of such an argument, Euclid used results that had been shown to be true, called theorems, or statements that were explicitly acknowledged to be self-evident, called axioms; this practice continues today. ... He claims the proof is "remarkably simple". ...

• Word Count: 533
• Approx Pages: 2
• Grade Level: High School

Malthus argued that any increase in the availability of food for basic human survival could not match the geometrical rate of population growth. ... Many people in the general population have developed an incorrect understanding of evolution for a number of reasons. ...

• Word Count: 1813
• Approx Pages: 7

because of his constant questioning and arguing against anything his professors said that could not be backed up by solid proof? ... Even as a student, he could not tolerate superstition or claims not backed up by proof, preferably mathematical (Levinger 8). ... Unlike his predecessors, he had proof to back up his claims. ... He admitted in 1597 (albeit only in a private letter to his German contemporary Johannes Kepler) to his belief in the Copernican doctrine, but said that he would not come forward with his views because he had no proof, and was afraid of ridicule in the scientific co...

• Word Count: 4135
• Approx Pages: 17
• Grade Level: High School

Heraclitus makes the statement that "you can't step into the same river twice.... This is the basis of Heraclitus' statement, the fact that reality, and the river, has ceaseless change. ... You can also look at relations of ideas in the fact that when you think of geometrical shape in your mind, you can think of operations to perform on that shape in your mind. ... Reason cannot achieve as much. ... We reason things in our world quite a bit through ideas. ...

• Word Count: 4182
• Approx Pages: 17
• Grade Level: High School

HISTORY AND DEVELOPMENT OF CALCULUS Team Number: 6   Name                                                            ID No 1.    DEEPANSHU TIWARI                                 ...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

The connection between truth and dialectic is the fact that, "So long as people sincerely say what they believe and are open to revising this on the basis of good reasons, people can together identify inadequate answers to important question (64)." ... Socrates replies to Crito's statement and also gives two arguments of his own defending the belief that escaping from prison would be wrong. ... The minor premise follows as: Socrates has lived in Athens all of his life while being free to leave and is stated in "You have never left the city, even to see a festival, nor for any other rea...

• Word Count: 3636
• Approx Pages: 15
• Has Bibliography
• Grade Level: High School