人擇定理Note

```python
# -*- coding: utf-8 -*-
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D # noqa: F401
import numpy as np

# 建立 3D 張量視覺化：
# x: 科學可檢證性 (低→高)
# y: 哲學/ego 濃度 (低→高)
# z: 人擇依賴度 (低→高)

fig = plt.figure(figsize=(8, 7))
ax = fig.add_subplot(111, projection='3d')

# 畫出立方體框線（張量外形）
r = [0, 1]
for s, e in [
((0,0,0),(1,0,0)), ((0,1,0),(1,1,0)), ((0,0,1),(1,0,1)), ((0,1,1),(1,1,1)),
((0,0,0),(0,1,0)), ((1,0,0),(1,1,0)), ((0,0,1),(0,1,1)), ((1,0,1),(1,1,1)),
((0,0,0),(0,0,1)), ((1,0,0),(1,0,1)), ((0,1,0),(0,1,1)), ((1,1,0),(1,1,1)),
]:
xs = [s[0], e[0]]
ys = [s[1], e[1]]
zs = [s[2], e[2]]
ax.plot(xs, ys, zs, linewidth=1)

# 節點（案例）
points = [
# (x, y, z, label)
(0.75, 0.25, 0.20, "弱人擇 + 可檢證論證\n（例如對 Λ 的量級約束）"),
(0.55, 0.30, 0.35, "弱人擇 + 機制模型\n（星系形成/恆星核合成條件）"),
(0.30, 0.55, 0.70, "Landscape 選擇效應\n（弦論真空掃描）"),
(0.15, 0.85, 0.85, "強人擇 + 目的論敘事"),
(0.40, 0.60, 0.60, "多宇宙測度問題討論"),
(0.65, 0.35, 0.25, "可觀測預測嘗試\n（選擇效應 + 統計先驗）"),
]

# 繪製點與標籤
xs, ys, zs, labels = zip(*points)
ax.scatter(xs, ys, zs, s=40)

for (x, y, z, lab) in points:
ax.text(x, y, z, lab, fontsize=8, zdir=None)

# 軸標籤與刻度
ax.set_xlabel("科學可檢證性 →")
ax.set_ylabel("哲學/ego 濃度 →")
ax.set_zlabel("人擇依賴度 →")

ax.set_xlim(0, 1)
ax.set_ylim(0, 1)
ax.set_zlim(0, 1)

plt.tight_layout()
plt.savefig("/mnt/data/anthropic_tensor.png", dpi=160, bbox_inches="tight")
plt.show()

"/mnt/data/anthropic_tensor.png"
```