PIANO-VOCAL SCORE (eBook): Song in which the narrator/singer overhears the anxious thoughts of an escaped slave waiting to be carried across the border to Canada. Indirectly touches on the noble role... More > played by Canada in assisting fugitives from the American South to reach freedom.
VOCAL RANGE: C4 to G5.
ALSO AVAILABLE IN: F and A flat.< Less
NEWS! Also available as a download (faster, cheaper!)--go to my page (click on my name).
This (print) version: PIANO-VOCAL SCORE: Song in which the narrator/singer overhears the anxious thoughts of... More > an escaped slave waiting to be carried across the border to Canada. Indirectly touches on the noble role played by Canada in assisting fugitives from the American South to reach freedom. KEY: G.
VOCAL RANGE: C4 to G5. ALSO AVAILABLE IN: F and A flat.< Less
This essay describes a way of finding hypercomplex numbers—ones that extend complex numbers to more dimensions—with only basic algebra plus Ayn Rand’s philosophy, Objectivism. The... More > result has implications for mathematics and the philosophy of science. The “RADN numbers” (known by science under another name) have a property of rotation like complex numbers, and are also commutative/distributive. (Division is deemed less crucial.) The author of UITHN asked himself what exactly numbers are, how they arise in our mind, and what their relation to reality is. But these questions were so fruitful only because he used a correct philosophy. Another philosophy, such as Karl Popper’s, would not have worked. This has two implications: Rand’s philosophy has epistemological truth; and the RADN numbers may have unique significance. May spur thought on mathematics, addition, multiplication, dimensions, imaginary units, and dimensioned numbers, and lead to more appreciation of Rand’s ideas.< Less
A song suitable for weddings.
Vocal Range: C4-A5-flat.
I MADE A VOW (I Would Never Love Anyone but You)
On that first night when you walked me home, I knew you’d never guess what... More > I had done:
I made a vow I would never love anyone but you.
It was on every twinkle of the galaxy, each faintest point of light, each burning sun
I made that vow, always dreaming how you might make it too.
When you wandered far and wide,
I held this promise deep inside:
In all your life you would never find any heart so true.
And when we came together, it was cloudy weather; for although you said let’s just have fun,
I made a vow just to be in love--what was I to do?
As we stand in wonder on this mountain I prepare to make that vow anew,
And then to hear your own vow, my dear, as we say “I do.”
And every star I was thinking of in every constellation there above
Spread out so bright when I pledged myself to you has blessed our love.< Less