Spatial reasoning is already used in logic, from intuitive visual aids like Venn diagrams, to formal structures such as networks, lattices, and trees.
SAM Space proposes a new system: an analytic geometry for logic. Just as Cartesian coordinates allow algebraic equations to be rendered as points, planes, functions and vectors, SAM Space seeks to do the same for logical and philosophical concepts.
The framework is grounded in three dimensions—Subject, Attribute, and Mode—analogous to axes in a coordinate system. A central concept is the Logos Line, akin to the number line in mathematics, representing the totality of what can be said or known.
The long-term goal is to enable precise mathematical modelling of philosophical concepts and systems.
This presentation outlines the foundational ideas of SAM Space. The work is exploratory rather than technical. It does not assume knowledge of advanced logic, formal proofs, or heavy notation. A working grasp of high school mathematics and introductory logic (e.g., truth tables and predicate logic) will suffice.
Monday July 6, 2026 3:00pm - 3:55pm AEST Steele-2373 Staff House Rd, St Lucia QLD 4067, Australia
