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International Journal of Comparative Sociology, Vol. 36, No. 3-4, 149-163 (1995)
DOI: 10.1177/002071529503600303

Two Limits of the Sociological Universe

John S.B. Lindsay

M.D., 1/60 Broadway, Nedlands, 6009, Western Australia

The two limits are in identifiable mathematical curves. The Koch curve, first described in 1904, is a continuous loop to infinity, never intersecting itself, and the total area remains finite. The records of the New Zealand census detailed volumes on Religious Professed from 1891 to 1966, ranked by size appear to conform to this Koch curve (also known as the snowflake curve). From 1966 to 1991 the evidence shows that "no religion" became the second largest profession. This loss of the continuous loop perimeter creates the anti-snowflake curve, also continuous to infinity but convergence changes the configuration, and reduces the available area to a quarter. The earlier snow-flake pattern centred on the family unit growth and development with some established and accepted belief systems, eg. "Thou shalt not kill" to be engraved in hearts and stone. The anti-snow flake has a centre where three separate areas meet to replace the symbolic snow-flake curve. Here the United Nations solves the crowd of the three different areas by its Universal Declaration of Human Rights for each one. We are the United Nations and you should not believe any other god.


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