07 AUG 2017 by ideonexus

The Double Multiplicative Nature of Fraction or Ratio Equ...

Most real-world numbers arenâ€™t always so nice and neat, with wholenumber multiples. If, say, Plant A grew from 2 to 3 feet, and Plant B grew from 6 to 8 feet, then we would say that Plant A grew 1/2 of its original height, whereas Plant B only grew 1/3 of its original height. Such reasoning exemplifies multiplicative thinking and necessarily involves rational numbers. Consider a final example. If you ask a rising 6th grader to compare 13/15 and 14/ 16, chances are that the student will say...
09 AUG 2014 by ideonexus

12X Spiral

The theory is that numbers are self-organized around the smallest, most highly composite number, 12. The number 12 and many of its multiples (24, 36, 48, 60, etc.) are HCNs: highly composite numbers (with lots of divisors), which are extremely useful for measuring and proportions. Why are there 12 eggs in a carton, 12 inches in a foot, 12 months in a year, 24 hours in a day, 360 degrees in a circle, 60 seconds in minute? Because highly composite numbers can be divided evenly in many ways. For...

Building a spiral around a clock, with 12-segments in the rotation, puts multiples of 3 at {3,6,9,12}, multiples of at {4,8,12}, multiples of 2 at {2,4,6,8,10,12}, and primes at {1,5,7,11}.

18 MAR 2012 by ideonexus

The Science of Reconstructing Fossils

In my work on Fossil Bones, I set myself the task of recognizing to which animals the fossilized remains which fill the surface strata of the earth belong. ... As a new sort of antiquarian, I had to learn to restore these memorials to past upheavals and, at the same time, to decipher their meaning. I had to collect and put together in their original order the fragments which made up these animals, to reconstruct the ancient creatures to which these fragments belonged, to create them once more...
Folksonomies: archaeology
Folksonomies: archaeology

Cuvier describes an art that he pioneered(?)

16 DEC 2011 by ideonexus

The Mental Benefits of Studying Mathematics

These Disciplines [mathematics] serve to inure and corroborate the Mind to a constant Diligence in Study; to undergo the Trouble of an attentive Meditation, and cheerfully contend with such Difficulties as lie in the Way. They wholly deliver us from a credulous Simplicity, most strongly fortify us against the Vanity of Scepticism, effectually restrain from a rash Presumption, most easily incline us to a due Assent, perfectly subject us to the Government of right Reason, and inspire us with Re...
1  1  notes

Understanding, meditation, abstraction, harmony, peace of mind... the list goes on and on.

30 AUG 2011 by ideonexus

A Great Summary of Taxonmy

Branches or types are characterized by the plan of their structure,Classes, by the manner in which that plan is executed, as far as ways and means are concerned,Orders, by the degrees of complication of that structure,Families, by their form, as far as determined by structure,Genera, by the details of the execution in special parts, andSpecies, by the relations of individuals to one another and to the world in which they live, as well as by the proportions of their parts, their ornamentation,...

Classes, orders, families, genera, and species are defined for their defining classification method.

08 JAN 2011 by ideonexus

Property Equals Freedom

Under modern conditions%u2014indeed, under any conditions%u2014a man without some negotiable property is a man without freedom, and the extent of his property is very largely the measure of his freedom. Without any property, without even shelter or food, a man has no choice but to set about getting these things; he is in servitude to his needs until he has secured property to satisfy them. But with a certain small property a man is free to do many things, to take a fortnight's holiday when he...
Folksonomies: centrism
Folksonomies: centrism
1  notes

The more property a person has, the more freedom they have with it, but there is a point where their amassing of property infringes on the rights of others.