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Work #1750

Golden Verses and Testimonia

The reconstructed teachings of Pythagoras — the Golden Verses, testimonia from Aristotle, Diogenes Laertius, and Iamblichus

Pythagoras of Samos (attributed and reported) · c. 6th century BCE (Golden Verses probably 5th–3rd century BCE; testimonia various) · Ancient Greek · Verse maxims and biographical-philosophical testimonia

Tradition: Pythagorean philosophy / early Greek mathematics-mysticism

Number is the principle of all things — the unity of mathematics, music, cosmology, and the purification of the soul

Pythagoras wrote nothing himself; his teachings survive in the Golden Verses (a collection of moral maxims attributed to the school), in Aristotle's reports on Pythagorean doctrines, in Diogenes Laertius (Lives 8.1-50), and in the later biographies of Porphyry and Iamblichus. The reconstructed teaching centres on the thesis that number is the principle (arche) of all things: the cosmos is a structured mathematical harmony, audible in the music of the spheres, and the soul is immortal and subject to metempsychosis (transmigration). The Pythagorean programme unites mathematics, music, astronomy, and moral purification in a single vision that profoundly influenced Plato and, through him, all of Western philosophy.

Author

Editions cited

  • Die Fragmente der Vorsokratiker (Diels-Kranz, 6th ed., 1951, 14 and 58)
  • The Pythagorean Texts of the Hellenistic Period (Holger Thesleff, Åbo, 1965)
  • A History of Pythagoreanism (Carl Huffman, ed., Cambridge, 2014)
Compare this work

School Embodiments

Pythagoreanism · 50%
Platonism (Classical) · 15%
Rationalism · 10%
Mysticism · 10%
Structuralism · 10%
Hermeticism · 5%
Pythagoreanism 50%

Pythagoras is the defining figure: the school is named for him, and the core doctrines (number as principle, harmony, metempsychosis) are attributed to him.

"Number is the ruler of forms and ideas, and the cause of gods and daemons." (Iamblichus, Life of Pythagoras 12.58)
Platonism (Classical) 15%

Plato's mathematical metaphysics, the tripartite soul, and the doctrine of recollection all have Pythagorean roots. Aristotle says Plato's philosophy is "in most respects Pythagorean" (Metaphysics 987a).

"First, honour the immortal gods, in the manner prescribed by tradition." (Golden Verses 1 — the moral programme Plato inherits and transforms)
Rationalism 10%

The Pythagorean programme is rationalist in its conviction that mathematical structure is the key to understanding reality — reason apprehends what the senses cannot.

"All things are numbers." (Aristotle, Metaphysics 985b-986a, reporting Pythagorean doctrine)
Mysticism 10%

The Pythagorean community practised silence, dietary restrictions, and ritual purification — a mystical-religious discipline alongside the mathematical programme.

"He said that the soul is immortal; next, that it changes into other kinds of living things." (Diogenes Laertius 8.14, on metempsychosis)
Structuralism 10%

The Pythagorean thesis that reality is constituted by mathematical ratios and proportions is a proto-structuralist position — form, not substance, is primary.

"The Pythagoreans observed that the ratios of musical harmonies can be expressed in numbers." (Aristotle, Metaphysics 985b)
Hermeticism 5%

The hermetic tradition adopted Pythagorean number-symbolism and the doctrine of cosmic harmony as part of its esoteric synthesis.

"There is geometry in the humming of the strings, there is music in the spacing of the spheres." (Attributed to Pythagoras in later tradition)

Internal Tensions

The central tension is between mathematics and mysticism: is the Pythagorean programme a rational investigation of the mathematical structure of reality, or a religious cult with dietary taboos and metempsychosis? The ancient sources preserve both aspects, and modern interpreters disagree about which is primary. A second tension is the attribution problem: how much of "Pythagorean" doctrine is actually from Pythagoras himself, and how much from later followers?

⧖

I. Time

Time in the Pythagorean framework is cyclical — the soul transmigrates through multiple lives, and the cosmic order repeats. The grain is discrete because number, which structures all things, is discrete.

Attributes
Extent: Infinite Ontological Status: Substantival Grain: Discrete Freedom: Deterministic Traversability: Cyclical Direction: Uni-directional Dimensionality: One
✦

II. Space

The cosmos is a finite, spherical, harmoniously ordered whole — the "music of the spheres" is the spatial structure heard as sound. Non-local because numerical ratios connect distant parts of the cosmos.

Attributes
Extent: Finite Ontological Status: Substantival Curvature: Curved Dimensionality: Three Locality: Non-local
◉

III. Matter

Matter is real but structured by number — its properties (musical intervals, geometric proportions) are mathematical rather than merely material.

Attributes
Extent: Finite Ontological Status: Substantival Conservation: Conserved Dimensionality: Three Locality: Local
◎

IV. Observer

The Pythagorean observer is both embodied and spiritual — the soul inhabits successive bodies (multiple time instances) and can, through purification and mathematical study, ascend to knowledge of the cosmic harmony.

Attributes
Time Instance: Multiple Space Instance: Single Knowledge Extent: Partial Knowledge Retainment: Total Physicality: Both Agency: Active Number: Plural Metaphysical Agency: Cosmic-ordering
⚡

V. Energy

The cosmic harmony is an energetic structure — the celestial spheres sound, the soul vibrates in sympathy. Energy is conserved across cosmic cycles and potentially reversible through the soul's purification.

Attributes
Extent: Infinite Ontological Status: Substantival Conservation: Conserved Dispersibility: Reversible
⧉

VI. Information

Number is the fundamental informational structure of reality — discrete, substantival, conserved, and eternal. Personal information (the soul) is also conserved through metempsychosis.

Attributes
Ontological Status: Substantival Cosmic Conservation: Conserved Personal Conservation: Conserved Granularity: Discrete

Personas that cite this work

Pythagoras of Samos

Personas with the nearest attribute fingerprint

Historical figures whose own classification on the same six-dimensional grid lands closest to this work's. Computed by attribute-agreement on coordinates both address.

81%
Solomon ibn Gabirol
25/31
80%
Epictetus
24/30
80%
Madhvācārya
24/30
80%
Panaetius
24/30
80%
Plato
24/30
79%
Chrysippus of Soli
26/33

Computed school proximity

The work's attribute fingerprint scored against all schools using the same quiz scorer. Useful as a sanity check on the hand-curated embodiments above.

65%
Pythagoreanism
20/26
56%
Stoicism
18/26
55%
African Traditional Religion / Yoruba-Ifa
17/26
54%
Jainism / Anekantavada
17/26
53%
Western Esotericism
16/26
52%
Animism / Relational-Indigenous Worldview
16/26
52%
Milesian School
17/26
52%
Classical Greek Thought
18/26

How Golden Verses and Testimonia resolves each dilemma

51 resolved positions across 4 dimensions, including 23 distinctive where the majority of schools go the other way · 6 unaligned.

Each dimension is sorted so minority positions come first. Mainstream positions are folded into an expandable list.

Time · 9 dilemmas · 5 distinctive

Persistence, the future, and the direction of becoming.

Distinctive · only 9% of schools agree (18/202)
Do you really choose?
If the brain is a physical system and physical systems are governed by laws, then every choice is also a chain of causes — which raises the question of what was really left to choose.
Choice is real within a determined order — agency and determinism aren’t opposites.
On this view, the future is determined and you are genuinely choosing. Those aren't contradictory because the determination runs through you rather than around you: your reasoning, deliberation, and assent are the way the determined outcome gets settled. Choice is what it feels like from …
Roads not taken The future is open and you are a genuine origin of it. (69%) · Choice is structural illusion — every event is fixed by the prior state. (10%) · Even if the universe is undetermined, you are not the chooser. (6%)
Distinctive · only 9% of schools agree (18/202)
Are addicts responsible for their addiction?
Addiction looks from one angle like the textbook case of agency failing — a person doing what they don't, in any meaningful sense, want to do. From another angle it looks like agency at work in hard conditions. Which it is depends on what agency is.
The addict is genuinely responsible within a determined order.
On this view, the addict is acting within a determined order but is genuinely acting — making decisions, endorsing or resisting urges, seeking or refusing help. Responsibility attaches not because some uncaused choice happened, but because the addict is the kind of agent through which …
Roads not taken The addict could have chosen otherwise — that's why recovery is real. (69%) · The addict's behaviour is the outcome of causes; 'responsibility' is a useful fiction, not a metaphysical fact. (10%) · Even if the universe is undetermined, the addict isn't the chooser. (6%)
Distinctive · only 9% of schools agree (18/202)
Should we hold AI systems responsible for what they do?
When an autonomous AI takes an action that harms someone, the question of who or what is responsible — the developer, the operator, the model itself — turns on whether the model is the kind of thing that can be a responsible agent.
The AI can be a genuine agent within determined conditions — and therefore genuinely responsible.
On this view, what makes a being responsible is not indeterminism but the kind of process the being is. An AI that deliberates, considers consequences, can be given reasons, and modifies its behaviour on reflection is doing what responsible agency is, even if its underlying …
Roads not taken An AI without a free will is not the kind of thing that can be responsible. (69%) · An AI's behaviour is fully determined by training and input; 'responsibility' applies if at all to its makers. (10%) · Neither AIs nor anyone else are the locus of free agency; the question is the wrong one. (6%)
Distinctive · only 17% of schools agree (35/202)
How much weight do future people deserve?
If a billion people will exist in the 25th century, do their interests count for as much as the interests of a billion people alive now? The answer turns on what kind of reality the future has.
Past, present, and future are bound in cycles — duties span generations as a matter of course.
On these views, time is not a one-way arrow but a structure of return: cosmic cycles, karmic cycles, the seasons, the succession of generations. To act now is always also to act for the ancestors who shaped your inheritance and for the descendants who will …
Roads not taken Future people are as real as you are — and their interests count for as much. (47%) · Time arises from events or from a deeper substrate — the future is not yet. (32%) · The future branches — what we owe depends on which branch we create. (2%)
Distinctive · only 17% of schools agree (35/202)
Is regret rational?
If the past is fixed and unchangeable, what kind of mental act is regret? An error, a duty, a lesson, a perspective on a moment that is still in some sense present?
The past is part of a cycle one keeps returning to; regret is one of the gates of the cycle.
On cyclical views, the past is not a fixed thing behind you — it is part of the ongoing structure of return: karmic cycles, cosmic cycles, the cycle of seasons and generations. Regret, on these views, is less about an unchangeable past and more about …
Roads not taken The past is as real as the present; regret is a real attitude toward a real thing. (47%) · The past is not a thing now; regret is the present holding what is no longer. (32%) · Other branches exist; regret tracks roads not taken that are nonetheless real. (2%)
4 mainstream positions
Do we owe extinct species something we cannot give them? Past beings are part of the cycle; we owe them what we owe ancestors. 17% Is the universe running out of usable energy? Time is unbounded but matter is finite; usable energy can fail without time failing. 47% Are natural resources fundamentally finite, or only practically so? Time goes on but matter is bounded; we are eventually constrained even with infinite time. 47% Could we owe future generations more than is materially possible to provide? Time is unbounded but matter is not; we can owe more across long time than the matter can provide. 47%
Matter · 7 dilemmas, all mainstream
Is the world created from nothing? Yes — matter was created and is conserved as a real substance. 55% Is the physical world fully real? Yes — the physical world is fully real, mind-independent, persisting. 55% Does matter have intrinsic moral standing? Matter is morally considerable insofar as it is created or conserved good. 55% What is money? Money is a real institution with intrinsic features. 54% What is a nation? A nation is a real moral community with intrinsic character. 54% What makes someone male or female? Sex is a real biological kind with given content. 54% Should we edit the human germline? Human nature is a real biological kind given by reproductive biology or by creation; editing the germline transgresses what is given. 54%

Observer · 37 dilemmas · 5 distinctive

Mind, agency, and the knower's relation to the known.

Distinctive · only 6% of schools agree (12/202)
Is reality fundamentally digital?
Pancomputationalism, Planck-scale quanta, simulation theory and Kabbalistic letter-mysticism all say yes — but for very different reasons. The rest of the atlas says no.
Yes — but divinely-discrete: divine letters, momentary cognitions, atomistic theism.
On this view, the world is at bottom discrete, but the units are not bare bits. They are divine names, momentary cognitions, karmic atoms, sacred letters — the elementary acts of a creating or ordering agency. Discreteness is real and fundamental, and so is the …
Roads not taken No — continuous divine sustaining act, the Tao that knows no joints, the One's self-disclosure. (44%) · No — continuous fields, classical limits, analog deep structure. (37%) · Yes — bits, quanta, computational substrate. (13%)
Distinctive · only 6% of schools agree (12/202)
Are there indivisible units of experience?
Whiteheadian actual occasions, Buddhist moments of mind, Kabbalistic letter-cognitions, IIT phi-units — or the unbroken Jamesian stream? The atomism of experience cuts across naturalism and theism alike.
Yes, theistic atomism — actual occasions, divine letters, momentary cognitions.
On this view, the atoms of experience are not bare quanta but agent-laden moments: Whiteheadian actual occasions in which subjectivity and the divine lure meet, Kabbalistic letter-cognitions in which divine names act, Buddhist Abhidharma moments of mind, tantric ksana. The discreteness is real and so …
Roads not taken No — continuous divine presence; consciousness is the unbroken witness. (44%) · No — continuous Jamesian stream, phenomenological lived time. (37%) · Yes — naturalist quanta of experience. (13%)
Distinctive · only 6% of schools agree (12/202)
Is memory stored or reconstructed?
Engrams and traces — or continuous re-narration each time you remember? The cognitive-science debate has a theological cousin: divine memory holding each hair, or the ancestors' continuous remembering.
Stored — in divine memory's discrete particulars, or in karmic-record units.
On this view, memory is held in discrete particulars by an agency: the Lord who knows each hair, the karmic ledger that records each act, the angelic scribe who writes each deed, the Kabbalistic letters that spell each soul. Storage is real; the storer is …
Roads not taken Held in continuous divine or ancestral remembering — neither stored discretely nor purely reconstructed. (44%) · Reconstructed — continuous re-narrating, no fixed engrams. (37%) · Stored — discrete engrams, traces, weights. (13%)
Distinctive · only 9% of schools agree (18/202)
What makes someone the same person over time?
When dementia hollows out memory, when a coma resolves with no recall, when you imagine being uploaded — the question of whether the surviving person is still you turns on what kind of thing the 'you' was to begin with.
You span moments — identity is a pattern that need not be located at a single now.
On this view, the observer is not bound to a single present. Identity is something that exists across moments — as a pattern, an ancestral line, a trans-temporal structure. Uploading, in this picture, is not a metaphysical impossibility but an engineering question; ancestors are real …
Roads not taken You are your body — continuity is bodily continuity. (36%) · You are a soul — what persists through change is the non-bodily aspect. (29%) · There was never a fixed self to either preserve or lose. (14%)
Distinctive · only 9% of schools agree (18/202)
Is the late-stage dementia patient still the person their spouse married?
Loss of memory, of recognition, of the cognitive patterns that made the person — does this end the person, or merely the person you knew? The answer turns on what makes someone who they are.
The person is the pattern across moments — diminished pattern, diminished person.
On this view, the person is constituted by a pattern extending across moments — memory, narrative, characteristic ways of being. As dementia erodes the pattern, the person is correspondingly diminished. What remains is real but is less than what was; the marriage to the person …
Roads not taken Same body, same person — even when the cognitive pattern has changed. (36%) · The soul persists; the cognitive change is the body's, not the person's. (29%) · There was no fixed person to lose; care is owed to whoever is here. (14%)
26 mainstream positions
If a teleporter copied and destroyed you, would you have survived? You are the pattern; the pattern survives the substrate change. You arrive. 9% Does environmental harm in another country bind me morally? Distance doesn't dilute obligation; what is real is the connection, not its length. 12% Are the dead morally present to the living? Observers span moments; the dead are present in a real (not merely metaphorical) way. 13% Is divine omniscience compatible with human freedom? An observer can occupy multiple times at once; foreknowledge is not foreordering. 13% Does meditation reveal something genuinely timeless? Meditation accesses a trans-temporal level the ordinary observer doesn't ordinarily reach. 13% Does prayer change God's mind? Prayer participates in a trans-temporal liturgy or communion; the question of 'changing the mind' misses the trans-temporal mode. 13% Is environmental damage ever truly permanent? Loss is part of cycles; what disappears returns in another form. 17% Can a civilization recover from collapse? Civilization rises and falls in cycles; recovery is structural to history. 17% Does the second law of thermodynamics mean something morally? Local entropy increase is part of a cycle; the moral category is participation in the cycle. 17% Could causation work backwards? Time is structured as return; 'forward' and 'backward' are local features of the cycle. 17% Is the asymmetry between memory and anticipation a real feature of time, or just of us? Memory and anticipation are phases of a cycle that visits both directions. 17% Is the arrow of time a real feature of the cosmos, or only of how we describe it? Within a cycle there is a direction; across the cycle there isn't. 17% When does a person begin? A person exists from conception — when a new being comes into existence. 54% What is marriage? Marriage has a given form — it’s a kind of thing we recognize, not make. 54% What is our place in nature? Active in a real nature — we cultivate, steward, transform. 48% Should we colonize space? Cultivating worlds beyond Earth is the next form of stewardship. 48% Is genetic engineering of food stewardship or domination? Genetic modification is cultivation by other means. 48% What happens to "you" when you die? A soul continues into another mode of being. 37% Can prayer for someone far away affect them? Prayer reaches because God or a cosmic ordering acts on the prayed-for. 37% Are coincidences ever more than coincidence? What looks like coincidence is providence — there is no such thing as a real coincidence. 37% Should we trust expert testimony when we can't verify it? Trust expertise whose conclusions a competent mind can in principle reproduce. 32% Is religious revelation a real source of knowledge? Revelation is evaluable by reason — and not above it. 32% Does an LLM 'know' the things it correctly produces? An LLM can produce correct outputs but not reason to them; useful, not knowing. 32% Could an AI have a mind that matters? No — minds are not the kind of thing we engineer. 30% Do animals have moral standing comparable to humans? Moral standing comparable to humans requires what only humans have. 29% Could a fetal brain organoid in a petri dish be conscious? Without ensoulment, an organoid is tissue, not a person. 29%
6 unaligned
Does history have a direction or meaning? Schools split: 37% / 23% / 19% — How is knowledge of reality produced? Schools split: 25% / 17% / 13% — Is salvation, liberation, or fulfillment individual or communal? Schools split: 15% / 14% / 4% — Is truth universal, tradition-bound, situated, or constructed? Schools split: 65% / 16% / 10% — What kind of religious-theological authority does the tradition recognize? Schools split: 44% / 16% / 14% — Who is the moral primary — the individual, the community, the cosmos, the class, or the species? Schools split: 40% / 28% / 14% —
Information · 4 dilemmas, all mainstream
Is anything truly lost when someone forgets? Information is conserved — the personal pattern is held even when an individual mind loses it. 39% Does deleting your data online destroy something real? Information at the cosmic level isn't destroyed; deletion only obscures access. 39% Could the dead, in principle, be brought back? The information that constitutes a person is conserved; restoration is in principle possible. 39% Is forgiveness ontologically possible? The offense persists ontologically; forgiveness is real moral work, but it doesn't erase what was. 39%
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