May 3rd, 2012

## Galilean Relativity Theory

Galieleo’s relativity stated that an observer who moves uniformly with constant speed in a straight line, that is, who moves with constant velocity, is called an inertial observer.  The Galilean principle of relativity can be stated as follows: The mechanical laws of physics are the same for every inertial observer.  In other words, by observing the outcome of mechanical experiements, one cannot distinguish a state of rest apart from a state of constant velocity.

By Galileo’s definition, two inertial observers can disagree on whether or not two separate events occurred at the same position in space. Since no mechanical experiment can distinguish a state of rest from one of uniform velocity, Galileo effectively abolished the universality of the notion of an ‘observer at rest.’

November 22nd, 2011

## The Different Versions of Infinity and Cantorian Sets

When we think of infinity we usually think of the usual two categorical distinctions:  a potential infinite and an actual infinite.  A potential infinite suggests that infinity is only an idea or a concept but doesn’t actually exist in the Platonic sense or in the physical sense. In any set, one may always be added.  An actual infinite is the notion that there exists such a set, Platonic or physical, which is infinite.  A potential infinity may be symbolized by a lemniscate:  ∞.  An actual infinite can be depicted by the aleph-null or aleph-nought:  ℵ0 (The Hebrew letter aleph with a subscript zero).

First, let’s have a brief refresher on set theory.

September 28th, 2011

## The Relationship Between Science and Philosophy

How far can science take us and at what point does philosophy and metaphysics take over?  Here is the general process of science and philosophy.

1. METHOD. Science’s modus operandi is to observe the data while philosophy is examining the data and reasoning through it.
2. MATERIAL. Science’s materials are facts. There are certain data that provide empirical fact to work with.  Philosophy’s material are conceptual–concepts that are the basis for the rest of the process.
3. PURPOSE. Science is descriptive.  Empirical investigation can only observe what happens and the purpose of it is to describe the mechanism or process taking place.  The purpose, in relation to philosophy, is to be able to construct an argument.
4. GOAL.  The goal of science is prediction.  We will see this in the strength of a theory by principle of verification and falsification.  The philosophical role is providing an explanation of the data.  Explanation is philosophical and not scientific.
5. OUTCOME. The end of science is the production of technology. The general history of science runs in the direction of greater efficiency in its function.  Likewise, in the history of science, philosophy’s outcome is developing a worldview system.  Consider the historical development of science with Copernicus, Galileo, and Newton.  Copernicus changed the worldview system with the Copernican revolution as did Newton.  I would actually argue that Newtonian physics may have made a greater philosophical impact than Copernicus in light of Kant (thanks Kant…).
6. REASON.  We’ve already touched on this briefly, but the reason for why one does science is for efficiency.  The reason for philosophy is a search and understanding for meaning.