#### This work is a small start towards a mathematics of the *Threshold*, the dynamic interface between the pre-physical and the physical-material realms of being. This *Threshold* can be compared, to the transitional threshold levels in the physical-material world at which gaseous vapour becomes liquid water and liquid water becomes solid ice.

#### The *Threshold* perspective is a psychological one which both overviews and penetrates to the heart of the whole discipline of mathematics, so as to see it within its greater cosmic context, and thus as a sub-culture functioning within a much bigger picture. This enables issues within current mathematics to be approached from beyond its own strict boundaries, assumptions and conventions.

**Threshold Mathematics**** **is not an alternative system in opposition to current orthodox mathematics. It is the basis of an emerging language, intended to bring increasing coherence to our human understanding of the dynamics of conscious being and the vitality of life itself.

**Threshold Mathematics**

#### Thus it deals with a dynamic dimensionality beyond physical space and time, and beyond the extremely useful but limited world of Euclidean mathematics. It’s also not a purely *abstract* or *platonic* discipline, detached from the reality of the physical world. And it’s not trapped, inertia-bound, in the currently prevailing conventional number system, which is inadequate for handling that greater reality.

**Threshold Mathematics** is, in essence, the mathematics of conscious being, which involves detecting and understanding various patterns of phenomena that lead to a fuller understanding of:

**Threshold Mathematics**

#### – how the cosmos and *individual I* came into existence and continue to function,

#### – how *individual* *I *relate to the cosmos, at both the *pre-physical* and *physical-material* levels,

#### – how *individual I* relate to other entities within the cosmos

#### – how the concepts of *time* and *space* fit into this perspective.

#### This involves developing a sense of presence, engagement and participation in the evolving cosmos.

#### It also transcends the familiar Western distinction between *subjective* and *objective*,* *which implies a significant progression beyond the conventional notion that pure mathematics is necessarily objective and abstract.

*“Mathematics is the language with which God has written the universe”* is an alleged quote from Galileo, an early pioneer of Western materialistic science. Others have made similar claims that mathematics is the language of nature and so on.

#### These can be interpreted as ways of asserting that there is a coherent order to be found behind the apparent superficial randomness and disorder of the everyday world in which humans live their lives. But given that physical-materialistic science and its associated mathematics have proved sterile in helping humanity comprehend the rich, multi-level subtleties of conscious life, another kind of mathematics is needed to serve as a more appropriate language for this purpose.

**Threshold Mathematics** offers an inclusive and comprehensive approach to understanding the basics of cosmic order and functioning. It opens up a simple, coded, diagrammatic way of describing the dynamics of being a human individual within our greater cosmic context. Each individual being is understood to be a *focal point *unit of consciousness, and an integral part of a greater inclusive presence of conscious being, called in this work *universal consciousness*, *UC* (a non-religious concept).

**Threshold Mathematics**

**Threshold Mathematics** deals with the *pre-physical* realm beyond the scope of physical physics, and brings a coherent rationality to the supposedly counter-intuitive *quantum* world. It’s based on three axiomatic principles governing how the cosmos, including all that it comprises, originated and continues to function. These are outlined in **The Becoming** chapter in **Notes from the Threshold**, which sets out the essentials of t*he whole Threshold Perspective*.

**Threshold Mathematics**

**The Becoming**

**Notes from the Threshold**

**Threshold Mathematics**, meanwhile, has resolved certain key mathematical ‘problems’ which for centuries had remained unresolvable to mathematicians working within the limitations of conventional mathematics and especially its number system. For example, revealed is the rationality, the rationale, of the so-called *irrational numbers*, and the previously undiscovered order governing the sequence of the *prime numbers*, first published online in 2006 in **The Primal Code.**

**Threshold Mathematics**

**The Primal Code.**

*The Primal Code* and the whole document, **Threshold Mathematics**, are available as free downloads from www.pathwayinitiatives.co.uk

*The Primal Code*

**Threshold Mathematics**