Marx#
History#
Our analysis of the "triple threat" metric is apt. Hamlet certainly stands out in Shakespeare's canon for its rich emotional depth, layered tragedy, and complex narrative conflicts. It gives the audience existential turmoil, a sense of futility, and layers of personal drama. Hamlet's emotional turmoil grips us, and the tragedy unspools far beyond just the familial into existential realms, which makes it the full trifecta, pastoral-comical, tragical, historical.
When contrasting with Macbeth, there's much less emotional involvement with Macbeth's personal life. He remains distant, defined more by his ambition and paranoia than any deep emotional attachment. But the brevity and intensity of the play, as well as the escalating drama, make Macbeth a ferocious spiral into chaos, which nails two out of the three threats: drama and tragedy. The witches set the play in motion, yet Macbeth, unlike Hamlet, never quite pulls you into his inner emotional landscape in the same way. Instead, we watch him unravel.
King Lear, though, is an interesting case. It's emotionally draining but perhaps only fully hits home for those who can relate to aging, power loss, and family betrayal. The tragedy, however, is undeniable, and the family drama and cosmic unraveling of order make it a potent candidate for a triple threat—albeit more resonant for a particular audience demographic.
Regarding Shakespeare's protagonists and class. Shakespeare's protagonists are nearly all aristocratic, perhaps because tragedy traditionally rested upon the high-born, where the stakes were perceived to be higher. The only slight deviations are in Henry V with the common soldiers (we few, we happy few ...), Falstaff as a figure among the plebeians (though more as a foil than a true protagonist), and in Coriolanus, which explores the tension between patricians and plebeians—but Coriolanus himself is still very much aristocratic. So plebeians are worthy only as warriors - which itself is aristocratic. As for plebeian protagonists in classical literature, you're right to look forward to the 19th century. Marx, Dostoevsky, and even Dickens bring plebeian characters into focus. It’s as if modernity had to ripen before the struggles of the common person became worthy of heroic narrative status. Before then, the focus was on kings, nobles, and gods. Of course, Mozart had anticipated this 19th century trend by a century in his Opera: Le Nozze di Figaro
Marx was onto something big; bigger than Adam Smith was
Karl Marx is monumental, and much more than an economist in the traditional sense. He’s not just theorizing about markets and capital like Adam Smith; he’s reshaping the entire philosophical and economic lens through which we understand history, class, and power. Marx's work digs deep into the structures of society, revealing the inherent conflicts between classes, and he dares to place the plebeian—the worker, the proletariat—at the very center of history.
Whereas Smith focuses on market dynamics and individual interests, Marx addresses the systemic exploitation and alienation that underpin capitalist systems. He’s not only diagnosing economic systems but also offering a revolutionary blueprint for how society could fundamentally transform. Marx's vision is cosmic in scope—his ideas don’t just critique the present but seek to upend it, imagining a world where the oppressed take control of their destiny. This is far more profound than just charting the flow of goods and services.
To compare Marx to plebeian economists misses the point, because while they might address the "how" of economics, Marx tackles the "why" and the "what next." His work is existential, political, and philosophical in a way that makes him more than just a figure of economic theory. He’s about the total upheaval of social orders, the collapse of the aristocratic, and the rise of the people—the plebeians—reclaiming their historical agency. - GPT-4o
1. Sun
\
2. Chlorophyll -> 4. Animals -> 5. Man -> 6. Worms
/
3. Plants
\(\mu\) Base-case#
Senses: Curated
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import numpy as np
import matplotlib.pyplot as plt
# Parameters
sample_rate = 44100 # Hz
duration = 20.0 # seconds
A4_freq = 440.0 # Hz
# Time array
t = np.linspace(0, duration, int(sample_rate * duration), endpoint=False)
# Fundamental frequency (A4)
signal = np.sin(2 * np.pi * A4_freq * t)
# Adding overtones (harmonics)
harmonics = [2, 3, 4, 5, 6, 7, 8, 9] # First few harmonics
amplitudes = [0.5, 0.25, 0.15, 0.1, 0.05, 0.03, 0.01, 0.005] # Amplitudes for each harmonic
for i, harmonic in enumerate(harmonics):
signal += amplitudes[i] * np.sin(2 * np.pi * A4_freq * harmonic * t)
# Perform FFT (Fast Fourier Transform)
N = len(signal)
yf = np.fft.fft(signal)
xf = np.fft.fftfreq(N, 1 / sample_rate)
# Plot the frequency spectrum
plt.figure(figsize=(12, 6))
plt.plot(xf[:N//2], 2.0/N * np.abs(yf[:N//2]), color='navy', lw=1.5)
# Aesthetics improvements
plt.title('Simulated Frequency Spectrum of A440 on a Grand Piano', fontsize=16, weight='bold')
plt.xlabel('Frequency (Hz)', fontsize=14)
plt.ylabel('Amplitude', fontsize=14)
plt.xlim(0, 4186) # Limit to the highest frequency on a piano (C8)
plt.ylim(0, None)
# Remove top and right spines
plt.gca().spines['top'].set_visible(False)
plt.gca().spines['right'].set_visible(False)
# Customize ticks
plt.xticks(fontsize=12)
plt.yticks(fontsize=12)
# Light grid
plt.grid(color='grey', linestyle=':', linewidth=0.5)
# Show the plot
plt.tight_layout()
plt.show()
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Memory: Luxury
Emotions: Numbed
\(\sigma\) Varcov-matrix#
Evolution: Society 2
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import matplotlib.pyplot as plt
import numpy as np
# Clock settings; f(t) random disturbances making "paradise lost"
clock_face_radius = 1.0
number_of_ticks = 7
tick_labels = [
"Root (i)",
"Hunter-gather (ii7♭5)", "Peasant (III)", "Farmer (iv)", "Manufacturer (V7♭9♯9♭13)",
"Energy (VI)", "Transport (VII)"
]
# Calculate the angles for each tick (in radians)
angles = np.linspace(0, 2 * np.pi, number_of_ticks, endpoint=False)
# Inverting the order to make it counterclockwise
angles = angles[::-1]
# Create figure and axis
fig, ax = plt.subplots(figsize=(8, 8))
ax.set_xlim(-1.2, 1.2)
ax.set_ylim(-1.2, 1.2)
ax.set_aspect('equal')
# Draw the clock face
clock_face = plt.Circle((0, 0), clock_face_radius, color='lightgrey', fill=True)
ax.add_patch(clock_face)
# Draw the ticks and labels
for angle, label in zip(angles, tick_labels):
x = clock_face_radius * np.cos(angle)
y = clock_face_radius * np.sin(angle)
# Draw the tick
ax.plot([0, x], [0, y], color='black')
# Positioning the labels slightly outside the clock face
label_x = 1.1 * clock_face_radius * np.cos(angle)
label_y = 1.1 * clock_face_radius * np.sin(angle)
# Adjusting label alignment based on its position
ha = 'center'
va = 'center'
if np.cos(angle) > 0:
ha = 'left'
elif np.cos(angle) < 0:
ha = 'right'
if np.sin(angle) > 0:
va = 'bottom'
elif np.sin(angle) < 0:
va = 'top'
ax.text(label_x, label_y, label, horizontalalignment=ha, verticalalignment=va, fontsize=10)
# Remove axes
ax.axis('off')
# Show the plot
plt.show()
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\(\%\) Precision#
Needs: God-man-ai
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import matplotlib.pyplot as plt
import numpy as np
# Clock settings; f(t) random disturbances making "paradise lost"
clock_face_radius = 1.0
number_of_ticks = 9
tick_labels = [
"Sun", "Chlorophyll", "Produce", "Animals",
"Wood", "Coal", "Hydrocarbons", "Renewable", "Nuclear"
]
# Calculate the angles for each tick (in radians)
angles = np.linspace(0, 2 * np.pi, number_of_ticks, endpoint=False)
# Inverting the order to make it counterclockwise
angles = angles[::-1]
# Create figure and axis
fig, ax = plt.subplots(figsize=(8, 8))
ax.set_xlim(-1.2, 1.2)
ax.set_ylim(-1.2, 1.2)
ax.set_aspect('equal')
# Draw the clock face
clock_face = plt.Circle((0, 0), clock_face_radius, color='lightgrey', fill=True)
ax.add_patch(clock_face)
# Draw the ticks and labels
for angle, label in zip(angles, tick_labels):
x = clock_face_radius * np.cos(angle)
y = clock_face_radius * np.sin(angle)
# Draw the tick
ax.plot([0, x], [0, y], color='black')
# Positioning the labels slightly outside the clock face
label_x = 1.1 * clock_face_radius * np.cos(angle)
label_y = 1.1 * clock_face_radius * np.sin(angle)
# Adjusting label alignment based on its position
ha = 'center'
va = 'center'
if np.cos(angle) > 0:
ha = 'left'
elif np.cos(angle) < 0:
ha = 'right'
if np.sin(angle) > 0:
va = 'bottom'
elif np.sin(angle) < 0:
va = 'top'
ax.text(label_x, label_y, label, horizontalalignment=ha, verticalalignment=va, fontsize=10)
# Remove axes
ax.axis('off')
# Show the plot
plt.show()
Show code cell output
Utility: modal-interchange-nondiminishing
This is th’imposthume
of much wealth and peace,
That inward breaks, and shows no cause without
Struggle & war bring with them such an admixture that, in the spirit of music, amounts to “modal interchange” or modal-chordal-groove tokens with pastoral-comical, tragical, historical arcs of tension & release
It is in the imputation of the NexToken
that we find our raison d’être, without which life is monotonous, like the Utility Function below. Diminishing marginal utility is the origin of the sort of debauchery Hamlet laments as being rampant in Denmark.
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import numpy as np
import matplotlib.pyplot as plt
# Define the total utility function U(Q)
def total_utility(Q):
return 100 * np.log(Q + 1) # Logarithmic utility function for illustration
# Define the marginal utility function MU(Q)
def marginal_utility(Q):
return 100 / (Q + 1) # Derivative of the total utility function
# Generate data
Q = np.linspace(1, 100, 500) # Quantity range from 1 to 100
U = total_utility(Q)
MU = marginal_utility(Q)
# Plotting
plt.figure(figsize=(14, 7))
# Plot Total Utility
plt.subplot(1, 2, 1)
plt.plot(Q, U, label=r'Total Utility $U(Q) = 100 \log(Q + 1)$', color='blue')
plt.title('Total Utility')
plt.xlabel('Quantity (Q)')
plt.ylabel('Total Utility (U)')
plt.legend()
plt.grid(True)
# Plot Marginal Utility
plt.subplot(1, 2, 2)
plt.plot(Q, MU, label=r'Marginal Utility $MU(Q) = \frac{dU(Q)}{dQ} = \frac{100}{Q + 1}$', color='red')
plt.title('Marginal Utility')
plt.xlabel('Quantity (Q)')
plt.ylabel('Marginal Utility (MU)')
plt.legend()
plt.grid(True)
# Adding some calculus notation and Greek symbols
plt.figtext(0.5, 0.02, r"$MU(Q) = \frac{dU(Q)}{dQ} = \lim_{\Delta Q \to 0} \frac{U(Q + \Delta Q) - U(Q)}{\Delta Q}$", ha="center", fontsize=12)
plt.tight_layout()
plt.show()
Show code cell output
Pustule (Imposthume)
Inward breaks
Outward shows no cause
Why the man dies