Title page of

the ‘Petrus Talemarianus’.

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What could be a more auspicious and a more perfect way to start our 2025 Bibliotherapy publications, than today’s sharing from the Blue House of Via-HYGEIA!

We are highlighting another rare article by Francis Warrain, placing him as a worthy heir to Hoene Wronski and his philosophical & metaphysical  mathematics.

It was inserted in the appendix section of the ‘De l’ Architecture Naturelle‘ by the publishers, because it was completing and perfecting a theory ‘Petrus Talemarianus‘ did not develop in full in his copious and seminal study. It is titled ‘Appendix VII‘.

English translation by Via-HYGEIA and the mathematical formulations are by Aleks Kalenderoglu.

Francis Warrain examines mathematical ratios and symbolic constructs, like the Gamma function, to illustrate the duality and interconnectedness of universal principles.

Through concepts such as polarization and harmonic mean, it bridges metaphysics and mathematics, proposing that numerical relationships reflect ontological truths.

The emphasis on the septenary & the duodenary systems as universal archetypes highlights their role in understanding balance and unity across domains.

This work profoundly integrates abstract mathematics with philosophical inquiry, suggesting that harmony lies at the heart of both.

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Appendix VII

French Original

English Translation

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Page 2

French Original

English Translation

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Page 3

French Original

English Translation

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A Step-by-Step Commentary

Upon Francis Warrain’s Appendix VII

1. Introduction of Key Ratios and Mathematical Entities

2. Mathematical and Ontological Symbolism

3. Polarization and Duality

Polarization is presented as a principle where dual characteristics emerge from an indistinct whole, creating oppositional yet complementary forces. This notion echoes Wronski’s emphasis on duality & synthesis.

4. Laplace’s Law of Probability

5. Interpretation of Deviations

6. Connection to Wronskian Philosophy

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CONCLUSION

Warrain as Wronski’s

Intellectual Heir

Francis Warrain’s work in this article positions him as an intellectual heir to Hoene Wronski by extending metaphysical exploration into mathematical realms. Like Wronski, Warrain:

This study exemplifies Francis Warrain’s capacity to integrate abstract mathematical principles into a broader metaphysical framework, advancing Hoene Wronski’s legacy in contemporary inquiry.

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Coming soon:

A Little ‘Petrus Talemarianus’ Sampler: Part III-

‘A Kabbalistic Exegesis of the ‘Book of Numbers’ &

of the ‘Book of the Ecclesiast’.’

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