"Mathematics is the giving of same name to different things." This statement is said by

Question

Accepted Answer

The statement "Mathematics is the giving of same name to different things" is attributed to Henri Poincaré, making Option 1 the correct answer. Henri Poincaré was a renowned French mathematician, theoretical physicist, and philosopher of science. He made significant contributions to various fields, including topology, celestial mechanics, and the philosophy of mathematics. Poincaré's perspective on mathematics often emphasized the abstract and unifying nature of mathematical concepts, which aligns with the idea of assigning the same name to different things. This reflects his belief in the underlying connections and structures that mathematics reveals in seemingly disparate phenomena.

Now, let's examine why the other options are incorrect:

2. Roser Banken: There is no widely recognized mathematician or philosopher by this name associated with the statement in question. Therefore, attributing the quote to Roser Banken is incorrect.

3. Berthlot: This option likely refers to Marcellin Berthelot, a French chemist and politician, who was not known for contributions to mathematics or philosophical statements about mathematics. His work was primarily in chemistry, making it unlikely that he would be the source of this mathematical quote.

4. Benzamin Peirce: Benjamin Peirce was an American mathematician known for his work in algebra and number theory. While he made significant contributions to mathematics, there is no evidence to suggest that he made the specific statement in question. His focus was more on the practical applications and theoretical foundations of mathematics rather than philosophical musings about its nature.

In conclusion, Option 1, Henri Poincaré, is the correct answer because of his philosophical approach to mathematics and his emphasis on the abstract connections within the field, which aligns with the statement provided. The other options do not have the relevant background or association with the quote, making them incorrect.