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Writings based on Objectivism, the philosophy of Ayn Rand

Ayn Rand's most popular novels are Atlas Shrugged and The Fountainhead, which present her philosophy, Objectivism, in vivid characterizations.

  Metaphysics, epistemology, ethics, esthetics, and  politics are the five main branches of philosophy that she identifies. Utilizing her methodology, one can be rational about all aspects of life. These essays present my understanding of Objectivism.

Older Essays

This is Your Mind

Independence Day Special 2005

Copyright Issues Statement

Independence Day Special 2011:

 Jesus or Ayn Rand?

Don't Blame Wall Street

Governments and Individual Rights

Anarcho-Capitalism rebuttal

Doctors and Individual Rights

Internet Freedom VS On-line Piracy

Laws Must be Specific to Preserve Freedom

To Students of Objectivism

Kant as Founder of Modern Art

Thinking in Terms of Principles

The Purpose of Art

On Objectivity -- The Method of Thought

Applications of Philosophy

Happiness by a Proper Standard

Morality and War

Induction and Anarchism

Immigration and Applied Egoism

Independence Day 2012:

  Losing the Battle

On Civil Society

Batman and Justice

Paul Ryan and Objectivism

Philosophy in the Workplace

Articulating Freedom

The Argument for Freedom


Black Friday Special, The Morality of Profit

Intellectual Property Rights

How The Internet Works

Carnegie Museum of Art and Natural History

The Morality of Copyrights and Patents


Freedom of Speech -- a Sacred Right

Objective Value

Teleological Measurements




Ayn Rand as a Moral Hero

Moral Integrity

On Dualism

Protest NSA Spying

The Objectivist Trilogy

The DIM Hypothesis

Tolerance and DIM

Individual Rights

How We Know



































Date: Mon, 4 Jan 1999
Math in One Lesson
Thomas M. Miovas, Jr.

For the metric system of measurements, at least, there is no
unit of measurement for either velocity or momentum. The "units"
of velocity are meters per second (m/s) in a specific direction.
The "units" of momentum are kilogram meters per second (kgm/s)
[Where "k" means "1,000" and "g" means grams. The actual unit is
the gram, but that is inconveniently small, so the kilogram is
used instead]. The primary reason there are no such units for
velocity and momentum is due to the unit economy purpose of
having units of measurement in the first place -- i.e. if every
valid combination of units of measurement each had its own
designated unit of measurement, one wouldn't be able to keep
track of them all.

I think momentum could have been designated its own unit of
measurement, since Newton called it a "quantity of motion,"
except for a certain controversy over the concept "mass." In
Newton's conception, "mass" meant "resistance to change of
motion" for inertial motion (locomotion). That is, momentum
incorporated the object's current motion (v) with its resistance
to change of that motion (m), potentially as one measurement.
However, "mass" also involved the resultant weight of something
in a gravitational field. Since Newton (and scientists long
after him) couldn't integrate the two meanings of "mass," I
think a separate unit of measurement for momentum was not
incorporated into the system of measurement simply to avoid

Let's take a unit of measurement that does involve other units
of measurement that are seemingly multiplied or divided by each
other. The "Newton" (N) is a unit of measurement of force. This
unit can be broken down into kilograms (kg), meters (m), and
seconds (s) as in: 1N = (1kg)(1m)/(1s^2). But it's confusing to
write it this way. A better way is: 1N = (1kg)(1m/1s)/1s. Which
means that a force of one newton acting on a body of one
kilogram will get that body up to a speed of one meter per
second in one second -- *that's* the unit of measurement. Notice
that this involves a specific relationship of standard units of
measurement to each other. One is not actually multiplying and
dividing different units of measurements. There is no such thing
as a kilogram number of meter groups, for instance. Instead, the
ratio of the (subsumed) units of measurement (arrived at by
observation) *is* the unit of measurement. This process doesn't
have to involve one unit of measurement to one unit of
measurement ratios to be valid, but generally speaking, the
metric system does it this way for its convenience.

The symbols in calculus are notations of mathematical
operations, rather than being units of measurements in and of
themselves. As multiplication is re-iterative addition and
division is re-iterative subtraction, so calculus involves
re-iterative multiplication and re-iterative division.

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Thomas M. Miovas, Jr.



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Proud to be an Objectivist -- one who follows Ayn Rand's philosophy of Objectivism: I've earned it.