Work #1518 · Mid-career period
Lectures de Potentia Restitutiva
Hooke's 1678 Cutlerian Lectures — the spring law 'ut tensio sic vis' (Hooke's Law)
Robert Hooke
· 1678
· English (with Latin motto)
· Cutlerian Lectures / scientific treatise
Tradition: Royal-Society experimental philosophy / mechanical philosophy / elasticity
Hooke's 1678 'ut tensio sic vis' — the announcement of Hooke's Law of elastic deformation
Published in 1678 as 'Lectures de Potentia Restitutiva, or of Spring, Explaining the Power of Springing Bodies', this Cutlerian-Lecture treatise contains Hooke's classic statement of the law of elastic deformation — 'Ut tensio sic vis' ('as the extension, so the force'). Hooke had encoded the discovery as the anagram 'ceiiinosssttuv' in 1676; the 1678 publication reveals the solution. The book also offers Hooke's mechanical explanations of springiness in air, watch-springs, and various elastic media.
Author
Editions cited
- Lectures de Potentia Restitutiva (London, John Martyn, 1678)
School Embodiments
Naturalism
30%
Founding experimental-mechanical work on elasticity.
"Ut tensio sic vis — as the extension, so the force." (Lectures de Potentia Restitutiva, central law)
Mechanical philosophy applied to elastic bodies.
"Springing bodies act by the same mechanical laws as other bodies." (Lectures de Potentia Restitutiva, ch. 1)
Realism
10%
Realism about the mechanical structure of elastic bodies.
"There is a real mechanical cause behind the appearance of springiness." (Lectures de Potentia Restitutiva)
Mechanism
6%
Mechanist tradition.
Newtonianism
8%
Newtonian tradition.
Internal Tensions
Hooke's most lasting purely mechanical contribution — Hooke's Law remains a standard textbook law.
⧖
I. Time
1678 — mid-career Hooke.
Attributes
Extent: Infinite
Ontological Status: Substantival
Grain: Continuous
Freedom: Deterministic
Traversability: Linear
Direction: Uni-directional
Dimensionality: One
✦
II. Space
Gresham College, London.
Attributes
Extent: Infinite
Ontological Status: Substantival
Curvature: Flat
Dimensionality: Three
Locality: Local
◉
III. Matter
Cutlerian-Lecture treatise.
Attributes
Extent: Finite
Ontological Status: Substantival
Conservation: Conserved
Dimensionality: Three
Locality: Local
◎
IV. Observer
Mid-career Hooke as experimental mechanician.
Attributes
Time Instance: Single
Space Instance: Single
Knowledge Extent: Immediate
Knowledge Retainment: Total
Physicality: Embodied
Agency: Active
Number: Plural
Metaphysical Agency: Personal
⚡
V. Energy
Experimental-mechanical energies of the mature Royal Society.
Attributes
Extent: Finite
Ontological Status: Substantival
Conservation: Conserved
Dispersibility: Irreversible
⧉
VI. Information
Single short treatise.
Attributes
Ontological Status: Substantival
Cosmic Conservation: Conserved
Personal Conservation: Conserved
Granularity: Continuous
Personas that cite this work
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.
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.
How Lectures de Potentia Restitutiva resolves each dilemma
51 resolved positions across 4 dimensions, including 3 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 · 3 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%)
6 mainstream positions
How much weight do future people deserve?
Future people are as real as you are — and their interests count for as much.
47%
Is regret rational?
The past is as real as the present; regret is a real attitude toward a real thing.
47%
Do we owe extinct species something we cannot give them?
Extinct species are as real as we are; they have standing.
47%
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, all mainstream
Could causation work backwards?
Causation runs one way — the arrow of time is real and structural.
68%
Is the asymmetry between memory and anticipation a real feature of time, or just of us?
The asymmetry is real because time itself has a real direction.
68%
Is the arrow of time a real feature of the cosmos, or only of how we describe it?
The arrow is real and structural; the asymmetry isn't an artifact of description.
68%
Is environmental damage ever truly permanent?
Damage is real and permanent on the relevant timescales. There is no recovery; there is only limitation.
66%
Can a civilization recover from collapse?
Civilizational complexity is hard to build and easy to lose; recovery is at best partial.
66%
Does the second law of thermodynamics mean something morally?
Entropy is what time is. The moral weight, if any, is the weight of working against the current.
66%
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%
Is reality fundamentally digital?
No — continuous divine sustaining act, the Tao that knows no joints, the One's self-disclosure.
44%
Are there indivisible units of experience?
No — continuous divine presence; consciousness is the unbroken witness.
44%
Is memory stored or reconstructed?
Held in continuous divine or ancestral remembering — neither stored discretely nor purely reconstructed.
44%
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%
Are the dead morally present to the living?
The dead are present through divine memory, communion of saints, or ancestor presence.
35%
Is divine omniscience compatible with human freedom?
The human observer is in time, but God's vantage is not — and foreknowledge is not foreordering.
33%
Does meditation reveal something genuinely timeless?
Meditation participates in a real eternity — divine or cosmic — that the bounded human observer ordinarily cannot reach.
33%
Does prayer change God's mind?
God sees from outside time; prayer doesn't change God's mind, but it is part of how providence is enacted.
33%
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%
What makes someone the same person over time?
You are a soul — what persists through change is the non-bodily aspect.
29%
Is the late-stage dementia patient still the person their spouse married?
The soul persists; the cognitive change is the body's, not the person's.
29%
If a teleporter copied and destroyed you, would you have survived?
The soul accompanies the person; engineering can't transfer it.
29%
Does environmental harm in another country bind me morally?
Distance doesn't dilute obligation; communion of saints / divine relation spans the cosmos.
29%
Does history have a direction or meaning?
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How is knowledge of reality produced?
—
—
Is salvation, liberation, or fulfillment individual or communal?
—
—
Is truth universal, tradition-bound, situated, or constructed?
—
—
What kind of religious-theological authority does the tradition recognize?
—
—
Who is the moral primary — the individual, the community, the cosmos, the class, or the species?
—
—
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%