Geek Next Door

Mathematical vs. Verbal Reasoning

George Bernard Shaw (1856 — 1950) once said that as a boy he (1) let someone assume that a=b, (2) permitted several steps of algebra, and (3) found that he had accepted a proof that 1=2. This incident had a deep impact on Shaw’s thought process and forever after, he distrusted assumptions and algebra. The conclusions of a mathematical theory can be retranslated into words, but rarely can they be found by verbal reasoning.

George Bernard Shaw

George Bernard Shaw

In reply to Shaw’s criticism of the formal mathematical reasoning, the economist Philip H. Wicksteed (1844 — 1927) nicely puts:

“Mr Shaw arrived at the sapient conclusion that there “was a screw loose somewhere”– not in his own reasoning powers, but — “in the algebraic art”; and thenceforth renounced mathematical reasoning in favour of the literary method which enables a clever man to follow equally fallacious arguments to equally absurd conclusions without seeing that they are absurd. This is the exact difference between the mathematical and literary treatment of the pure theory of political economy.”

Philip H. Wicksteed

Philip H. Wicksteed

In other words, a mathematical idea, if correctly put and checked, is better than the one that is put in words, for words can never possibly explain in thousands what an equation can. That si where the importance of mathematical shows.


Costly placebos are more effective!

Some patients undermine how effective a drug is if they are told it is rather inexpensive, i.e., costly placebos are more effective than cheap ones. That is the conclusion of Dr. Dan Ariely’s landmark research that received the Ig Nobel prize for medicine. During the experiment, his team told volunteers that they were being given a new kind of painkiller, with some receiving an expensive one and others a cheaper one. In reality, all of them were given same sugar pills. When exposed to small electric shocks, Those who thought their pills were more expensive reported less pain than the others.

Although the conclusion is not new, and the research may sound humorous at the first glance, but I think this work is of great importance. A humorous work sometimes hides behind it a legitimate scientific point. You can read more about Dr. Ariely and his works in a brief biography here.

The Ig Nobel Prizes are a parody of the Nobel Prizes and are given each year in early October–around the time the recipients of the genuine Nobel Prizes are announced–for ten achievements that “first make people laugh, and then make them think.” Organized by the open access, free for everyone scientific humor magazine Annals of Improbable Research (AIR)The journal of record for inflated research and personalities, they are presented by a group that includes genuine Nobel Laureates at a ceremony at Harvard University’s Sanders Theater. This year’s Ig Nobel winners are listed here.


Worldviews and Opinions of Scientists in India

The Worldviews and Opinions of Scientists Project –by the Institute for the Study of Secularism in Society and Culture at Trinity College, Hartford Connecticut– is aimed at conducting a series of surveys in countries with differing cultures, in order to learn who today’s scientists are and to compare their thinking about a range of contemporary social, economic, cultural, moral and ethical issues. Under this project, first survey was conducted among Indian scientists. According to the project website, India was the first country chosen mainly because of its growing global importance in science and technology and in the education of scientific, medical and technology professionals. Among the 7,500 contacted science and technology majors, about 1,100 (~15%) from 119 institutions responded. Indian Institute of Technology Kanpur had the largest number (58) of participants.

The survey resulted in some very interesting trends. For example, a majority thinks that they studied sciences for personal interest and curiosity, something which, for some socioeconomic reasons in India, is hard to fathom. A majority thinks that India today does not fulfill its constitutional duty (viz, “to develop scientific temper, humanism and the spirit of inquiry and reform”). I belong to that majority. A majority had faith in current economic policy in India, that of a mixed economy. Majority also believed that there are less women in science due to the cultural influence. I would like to see the response from US or European scientists to the question whether they endorse Evolutionary theory or not, for I think, in India, 88% concurring with the theory is too less for scientists. The most surprising response (to me) was to the question whether there is any efficacy in alternative curative and diagnostic techniques! I was surprised and somewhat embarrassed to see that half the scientists in India believe that Homeopathy is effective, and close to half believe that prayer is effective! Moreover, 44% approve astrology. There was a very interesting question in the survey, viz, “In 2005, space scientists went to Tirupati to seek the blessing of (some) lord before a launch. Do you approve the decision?” The response was shocking! 41% approved that action!

Needless to say, majority among the respondents (66%) said they were Hindus. Only 10% were in Atheists/Agnostics/No Religion category. 26% believed strongly in God and its existence. 28% believed that God does miracles. Majority of scientists were spiritual.

Most of the respondents were practising scientists. I’d also like to see such a survey conducted among students, not just in sciences, in India.


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