I’ve been thinking about the realism/relativism debate and tried to build a middle path. I’d appreciate honest feedback as to what works, what breaks, what I’m missing.
The Core Problem
Consider a jar containing exactly ten marbles. Three observers make claims:
- Observer A: “There are 7 marbles”
- Observer B: “There are 13 marbles”
- Observer C: “There are 1,000,000 marbles”
Classical logic says: only “10” is true; everything else is false. So A, B, and C are both “false.”
But intuitively, A and B seem much closer to the truth than C. There’s a meaningful difference between a small counting error and a complete departure from reality. Yet binary logic cannot distinguish between them.
This tension mirrors the larger realism/relativism debate:
- Realism: Truth is objective and binary. A statement is either true or false. This protects objectivity but creates rigidity, it cannot distinguish between a near miss and a wild guess.
- Relativism: Truth depends on perspective. This allows flexibility but loses stable standards.
I wanted a framework that preserves objectivity (like realism) while accounting for degrees of error (like relativism wants to).
The Framework: Participation Model
The model accepts that Absolute Truth (capital-T Truth) is objective and binary. But in most real-world situations, we cannot fully access it. Human perception, memory, and measurement all have limits. We see through a lens, not with perfect clarity.
However, we can still engage with Truth by scaling it down to its essence (T) —the core reality we’re trying to represent. In the marble example, T = 10 marbles. We may not grasp Truth in its totality, but we can grasp enough to have something real to aim at.
The claim: human statements are expressions formed when the essence of Truth is filtered through human limitations. I call that limitation Verfract (v) .
Conceptual equation: T + v = e
- T = essence of Truth (the 10 marbles)
- v = Verfract (natural refraction from human limits: perception, memory, measurement error, viewing angle, etc.)
- e = the expression (the claim someone makes)
Clarification: Verfract can be positive or negative. Saying “7 marbles” gives v = -3 (underestimation). Saying “13 marbles” gives v = +3 (overestimation). The absolute value |v| represents the degree of deviation from Truth.
Important exception: In closed systems like mathematics and logic, we can achieve perfect truth. When we say 2 + 2 = 4, there is no gap between reality and statement. In such cases, v = 0.
A crucial implication: There are no different truths. There is only one Truth (scaled down to its essence T), and different expressions of it. Anything that passes the validity tests has the essence of Truth within it. We cannot outright reject an expression just because it’s not perfectly accurate. Instead, we identify which expressions have lower Verfract as they are closer to the essence.
The Two Validity Gates
Before we can rank expressions by Verfract, we must first determine whether they are valid at all. A claim can fail in two distinct ways.
Gate 1: Source Distortion
The claim is about the wrong subject,or has no real subject at all.
Examples:
- Someone says “There are 10 marbles” but is looking at a different jar (wrong subject)
- Someone lies, hallucinates, or guesses without observation (no subject)
When the source is disconnected from the Truth we’re discussing, the claim cannot participate in the essence at all.
Equation: D + v = Invalid Expression
(D = Distortion unrelated to T)
Gate 2: Perceiver Distortion
The claim genuinely attempts to describe the correct subject, but violates basic physical or logical possibility.
Example: Someone looks at a small coffee mug and honestly reports “There are 1,000,000 marbles.” They’re looking at the right jar (so Gate 1 is passed), but their claim contradicts volume, mass, and spatial possibility. The Verfract is so extreme that it destroys the link between observation and expression.
We call this vD (Verfract Distortion)—when the Verfract itself becomes so extreme that it functions as a distortion, breaking the link between essence and expression.
Equation: T + vD = Invalid Expression
Where’s the line? The boundary between high Verfract (valid but inaccurate) and vD (invalid) is context-dependent. “25 marbles” from a small jar might be high Verfract but still possible. “1,000,000 marbles” crosses into impossibility. The framework gives us a way to ask where that line lies, even if the answer depends on context.
If a claim passes both gates, it genuinely attempts to represent the correct reality AND does not violate physical possibility, it qualifies as a valid expression. Only then do we evaluate its degree of accuracy.
Ranking Valid Expressions
Valid expressions differ by degree of Verfract:
- Low Verfract: |v| is small. Errors are small and understandable: slight miscounting, poor viewing angle, normal perceptual limits. Examples: 7 marbles, 13 marbles.
- High Verfract: |v| is significant but the claim remains physically possible. Requires stronger assumptions. Examples: 25 marbles, 50 marbles.
- Extreme Verfract (vD): |v| is so large that the claim becomes impossible. Crosses into invalidity. Example: 1,000,000 marbles.
Verfract is a spectrum, not a binary. The goal of inquiry is to minimize Verfract, to reduce the gap between expression and the essence of Truth.
Evaluating Verfract Without Knowing Truth
Here’s the crucial part: even when Absolute Truth is not fully accessible, we can still rank expressions using objective methods. We may not know exactly how many marbles are in the jar, but we can reliably say that 12 is closer than 25, which is closer than 1,000,000.
How?
- Physical constraints: Reality imposes limits. A small jar cannot hold 1,000,000 marbles regardless of perception. Claims that violate physical possibility have objectively higher Verfract. These constraints are not socially constructed—the jar either can or cannot hold that many regardless of what anyone believes.
- Logical consistency: Claims that contradict known facts require more assumptions. The more contradictions, the higher the Verfract.
- Simplicity (Occam’s razor): To say 12 marbles, you assume a small counting error. To say 1,000,000 marbles, you assume the jar is magically expanded, the marbles are microscopic, or your eyes are completely failing. Higher Verfract = more required assumptions.
- Triangulation: When multiple independent observers produce estimates that cluster together, the cluster likely has lower Verfract than outliers. If ten observers guess around 10-13 and one says 1,000,000, the outlier has objectively higher Verfract.
- Probability of error: Small perceptual errors are common; massive errors are rare. Given no other evidence, a claim requiring a common error has lower Verfract than one requiring a bizarre error.
These methods allow us to compare expressions without direct access to Absolute Truth. We may not know exactly how many marbles are in the jar, but we can rank claims by how close they likely are.
Thank you to anyone who takes the time to read and respond.