The Assayer  

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"Philosophy is written in this grand book, the universe, which stands continually open to our gaze. But the book cannot be understood unless one first learns to comprehend the language and read the letters in which it is composed. It is written in the language of mathematics and its characters are triangles and circles, and other geometric figures without which it is humanly impossible to understand a single word of it; without these, one wanders about in a dark labyrinth."--The Assayer (1623) by Galileo

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The Assayer (Template:Lang-it) was a book published in Rome by Galileo Galilei in October 1623 and is generally considered to be one of the pioneering works of the scientific method, first broaching the idea that the book of nature is to be read with mathematical tools rather than those of scholastic philosophy, as generally held at the time.

Grassi on the comets

The context of the essay was to reply to the treatise Libra astronomica ac philosophica of 1619 by Orazio Grassi, a Jesuit mathematician at the Collegio Romano, which used the pseudonym of Lotario Sarsi Sigensano. The debate between Galileo and Grassi started in 1618, when the latter published Disputatio astronomica de tribus cometis anni MDCXVIII, in which he asserted that comets are celestial bodies. Grassi adopted Tycho Brahe's Tychonic system, in which the other planets of the Solar System orbit around the Sun, which, in turn, orbits around the Earth. In his Disputatio Grassi referenced many of Galileo's observations, such as the surface of the Moon and the phases of Venus, without mentioning him. Grassi argued from the apparent absence of observable parallax that comets move beyond the Moon. Galileo never explicitly stated that comets are an illusion, but merely wondered if they are real or an optical illusion.

Science, mathematics, and philosophy

In 1616 Galileo may have been silenced on Copernicanism. In 1623 his supporter and friend, Cardinal Maffeo Barberini, a former patron of the Accademia dei Lincei and uncle of future Cardinal Francesco Barberini, became Pope Urban VIII. The election of Barberini seemed to assure Galileo of support at the highest level in the Church. A visit to Rome confirmed this. The Assayer is a milestone in the history of science: here Galileo describes the scientific method, which was quite a revolution at the time.

The title page of The Assayer shows the crest of the Barberini family, featuring three busy bees. In The Assayer, Galileo weighs the astronomical views of a Jesuit, Orazio Grassi, and finds them wanting. The book was dedicated to the new pope. The title page also shows that Urban VIII employed a member of the Lynx, Cesarini, at a high level in the papal service. This book was edited and published by members of the Lynx.

In The Assayer Galileo mainly criticized Grassi's method of inquiry, heavily biased by his religious belief and based on Template:Lang, rather than his hypothesis on comets. Furthermore, he insisted that natural philosophy (i.e. physics) should be mathematical. According to the title page, he was the philosopher (i.e. physicist) of the Grand Duke of Tuscany, not merely the mathematician. Natural philosophy (physics) spans the gamut from processes of generation and growth (represented by a plant) to the physical structure of the universe, represented by the cosmic cross-section. Mathematics, on the other hand, is symbolized by telescopes, and an astrolabe. This is the book containing Galileo’s famous statement that mathematics is the language of science. Only through mathematics can one achieve lasting truth in physics. Those who neglect mathematics wander endlessly in a dark labyrinth.

Galileo used a sarcastic and witty tone throughout the essay. The book was read with delight at the dinner table by Urban VIII. In 1620 Maffeo Barberini wrote a poem entitled Adulatio Perniciosa in Galileo's honor. An official, Giovanni di Guevara, said that The Assayer was free from any unorthodoxy.

Also in the book, Galileo theorizes that senses such as smell and taste are made possible by the release of tiny particles from their host substances, which was correct but not proven until later.

And those minute particles which rise up may enter by our nostrils and strike upon some small protuberances which are the instrument of smelling; here likewise their touch and passage is received to our like or dislike according as they have this or that shape, are fast or slow, and are numerous or few. (p 276).

The rubbing together and friction of two hard bodies, either by resolving their parts into very subtle flying particles or by opening an exit for the tiny fire-corpuscles within, ultimately sets these in motion; and when they meet our bodies and penetrate them, our conscious mind feels those pleasant or unpleasant sensations which we have named heat... (p. 278).

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