Combining Texts

All the ideas for 'Science and Method', 'Laudatio: Prof Ruth Barcan Marcus' and 'Il Saggiatore ('The Assayer')'

unexpand these ideas     |    start again     |     specify just one area for these texts

---

6 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

15130	If a property is possible, there is something which can have it [Williamson]
	Full Idea: Barcan's axiom says if there can be something that has a certain property, then there is something that can have that property. It and its converse are not obviously correct or incorrect. They claim that it is non-contingent what individuals there are.
	From: Timothy Williamson (Laudatio: Prof Ruth Barcan Marcus [2011], p.1)
	A reaction: Williamson defends the two Barcan formulas, but the more I understand them the less plausible they sound to me.

6. Mathematics / A. Nature of Mathematics / 2. Geometry

10245	One geometry cannot be more true than another [Poincaré]
	Full Idea: One geometry cannot be more true than another; it can only be more convenient.
	From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
	A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.

12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities

7401	Heat and colour don't exist, so cannot mislead about the external world [Galileo, by Tuck]
	Full Idea: Galileo argued that there is no such thing as heat (and hence also as colour) in the external world, so there is no reason to conclude from colour-blindness that we cannot know the truth about the world.
	From: report of Galileo Galilei (Il Saggiatore ('The Assayer') [1623]) by Richard Tuck - Hobbes Ch.1
	A reaction: This key idea, taken up by Gassendi, Descartes and Locke, seems to me to be one of the most important (and, in retrospect, rather obvious) facts ever worked out by the human mind. Why does anyone still doubt it?

5454	Tastes, odours and colours only reside in consciousness, and would disappear with creatures [Galileo]
	Full Idea: I think tastes, odours, colours, and so on are mere names as far as the objects are concerned, and only reside in consciousness. Hence if the living creature were removed, all these qualities would be wiped away and annihilated.
	From: Galileo Galilei (Il Saggiatore ('The Assayer') [1623]), quoted by Brian Ellis - The Philosophy of Nature: new essentialism Ch.3
	A reaction: A nice bold assertion of the primary/secondary distinction from the first great scientist. I agree, and to disagree (and hence side with Berkeley and Hume) is to head for metaphsical and epistemological confusion.

14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism

16560	Galileo introduced geometrico-mechanical explanation, based on Archimedes [Galileo, by Machamer/Darden/Craver]
	Full Idea: The modern idea of explaining with mechanisms became current in the 17th century when Galileo articulated a geometrico-mechanical form of explanation based on Archimedes' simple machines. This became the 'mechanical philosophy'.
	From: report of Galileo Galilei (Il Saggiatore ('The Assayer') [1623]) by Machamer,P/Darden,L/Craver,C - Thinking About Mechanisms 5.2
	A reaction: So is Archimedes the source? I would say that mechanical explanation is just commonsense, and is predominant in all human thinking, even in tiny infants.

26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature

3645	To understand the universe mathematics is essential [Galileo]
	Full Idea: The great book of the universe cannot be understood unless one can understand the language in which it is written - the language of mathematics.
	From: Galileo Galilei (Il Saggiatore ('The Assayer') [1623], VI.232)
	A reaction: Nice, though one might say that humans created the language of maths to help them discuss the patterns they perceived in nature. Maybe what is special is order, and all order can be described mathematically.