Editing Mathematical Platonism and the Reality of Abstract Objects (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'The Platonism Test' (Evaluating 'Mathematical Independence' from Physical Reality):'''
<syntaxhighlight lang="python">
def test_mathematical_platonism(statements):
    """
    Applies the key Platonism tests to mathematical statements.
    """
    print("MATHEMATICAL PLATONISM ANALYSIS\n")
    for stmt in statements:
        necessary = stmt.get('necessary', False)
        mind_independent = stmt.get('mind_independent', False)
        precedes_physics = stmt.get('precedes_physics', False)
        
        score = sum([necessary, mind_independent, precedes_physics])
        verdict = {3: "STRONGLY PLATONIST", 2: "WEAKLY PLATONIST", 
                   1: "BORDERLINE", 0: "ANTI-PLATONIST"}[score]
        
        print(f"  Statement: '{stmt['text']}'")
        print(f"    Necessary: {necessary} | Mind-independent: {mind_independent} | "
              f"Pre-physical: {precedes_physics}")
        print(f"    Verdict: {verdict}\n")

test_mathematical_platonism([
    {"text": "The sum of angles in a Euclidean triangle is 180°",
     "necessary": True, "mind_independent": True, "precedes_physics": True},
    {"text": "π is irrational",
     "necessary": True, "mind_independent": True, "precedes_physics": True},
    {"text": "The standard notation for addition is '+'",
     "necessary": False, "mind_independent": False, "precedes_physics": False},
])
</syntaxhighlight>

; Philosophical Landmarks
: '''Plato's ''Republic'' (~380 BC)''' → "The Original" "Argument" for "The Reality" of **"Mathematical Forms."**
: '''Frege's ''Foundations of Arithmetic'' (1884)''' → "The Attempt" to "Ground" "Mathematics" in **"Pure Logic"** — "Supporting Platonism."
: '''Wigner's "Unreasonable Effectiveness" (1960)''' → "The Most Famous" **"Argument"** for "Mathematical Realism" from "Physics."
: '''Tegmark's ''Our Mathematical Universe'' (2014)''' → "The Most Radical" "Platonism": **"The Universe Is Mathematics."**
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