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Work #1601 · Late period

Knowledge and Error

Mach's 1905 'Erkenntnis und Irrtum' — systematic philosophy-of-science treatise

Ernst Mach · 1905 · German · Philosophy-of-science treatise

Tradition: Empirio-criticism / philosophy of science / Vienna positivism (predecessor)

Mach's 1905 'Erkenntnis und Irrtum' — systematic empirio-critical philosophy of science

Published by J. A. Barth in 1905 as 'Erkenntnis und Irrtum: Skizzen zur Psychologie der Forschung', this is Mach's most systematic mature philosophy-of-science work. It treats the psychology of scientific research, the role of imagination, analogy, and hypothesis, the conditions of error, the methodology of thought-experiment (Gedankenexperiment), and the broader philosophical implications of the empirio-critical position. The book exerted substantial influence on Einstein, the Vienna Circle, and the entire twentieth-century philosophical-psychological-empirical study of science.

Author

Editions cited

  • Erkenntnis und Irrtum: Skizzen zur Psychologie der Forschung (J. A. Barth, Leipzig, 1905; 5th ed. 1926); English trans. Knowledge and Error (Reidel, 1976)
Compare this work

School Embodiments

Philosophy of Science · 30%
Empiricism · 20%
Logical Positivism · 18%
Pragmatism · 14%
Naturalism · 10%
Phenomenalism · 8%
Philosophy of Science 30%

Major mature philosophy-of-science treatise.

"On the psychology of scientific research." (Erkenntnis und Irrtum, subtitle)
Empiricism 20%

Strong empirio-critical framework.

"All scientific knowledge is built up from sensations and their connexions." (Erkenntnis und Irrtum)
Logical Positivism 18%

Major source for Vienna-Circle logical positivism.

"Metaphysics has no place in scientific knowledge." (Erkenntnis und Irrtum)
Pragmatism 14%

Pragmatist-economical methodology.

"Concepts and theories judged by their economy and predictive utility." (Erkenntnis und Irrtum)
Naturalism 10%

Naturalistic-psychological methodology.

"Scientific research is itself a natural-psychological process." (Erkenntnis und Irrtum)
Phenomenalism 8%

Anti-realist stance on theoretical entities.

"Theoretical entities are economical fictions." (Erkenntnis und Irrtum)

Internal Tensions

Mach's most systematic philosophy-of-science work; major influence on Einstein and the Vienna Circle.

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I. Time

1905.

Attributes
Extent: Infinite Ontological Status: Relational Grain: Continuous Freedom: Deterministic Traversability: Linear Direction: Uni-directional Dimensionality: One
✦

II. Space

Vienna.

Attributes
Extent: Infinite Ontological Status: Relational Curvature: Flat Dimensionality: Three Locality: Local
◉

III. Matter

Single mature treatise.

Attributes
Extent: Infinite Ontological Status: Emergent Conservation: Conserved Dimensionality: Three Locality: Local
◎

IV. Observer

Late Mach.

Attributes
Time Instance: Single Space Instance: Single Knowledge Extent: Mediated Knowledge Retainment: Partial Physicality: Embodied Agency: Active Number: Plural Metaphysical Agency: Impersonal
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V. Energy

Late-systematic philosophy-of-science energies.

Attributes
Extent: Infinite Ontological Status: Substantival Conservation: Conserved Dispersibility: Irreversible
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VI. Information

Single treatise.

Attributes
Ontological Status: Substantival Cosmic Conservation: Conserved Personal Conservation: Non-conserved Granularity: Continuous

Personas that cite this work

Ernst Mach

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.

97%
Ernst Mach
33/34
90%
Thales of Miletus
26/29
88%
David Lewis
30/34
88%
Gottfried Wilhelm Leibniz
30/34
88%
Peter Singer
30/34
87%
Anaximander of Miletus
26/30

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.

64%
Process Philosophy
19/26
64%
Object-Oriented Ontology (OOO)
20/26
63%
Virtual Realism
21/26
62%
Mechanism
20/26
60%
Deism
21/26
60%
Philosophy of Science
21/26
60%
Analytic Philosophy
21/26
58%
Modal Realism
20/26

How Knowledge and Error resolves each dilemma

35 resolved positions across 4 dimensions, including 10 distinctive where the majority of schools go the other way · 22 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 15% of schools agree (31/202)
Is the universe running out of usable energy?
The heat death of the universe — entropy maxed out, no further work possible — is among the more sobering implications of mainstream physics. Whether it is structurally inescapable depends on what kind of finitude the cosmos has.
Both time and matter are unbounded; 'running out' is misframed.
On this view, the cosmos has neither a temporal horizon nor a material exhaustion point. The framing of running out presupposes bounds that the cosmos doesn't have. Energy gradients perpetuate; new configurations emerge; the categories that make heat-death scary don't apply at the cosmic scale.
Roads not taken Time is unbounded but matter is finite; usable energy can fail without time failing. (47%) · Time both has and lacks bounds depending on the level you ask at; finitude is conventional. (26%) · The cosmos has bounds; heat death is a real horizon. (12%)
Distinctive · only 15% of schools agree (31/202)
Are natural resources fundamentally finite, or only practically so?
Whether we can grow our way out of resource constraints — or whether the cosmos sets limits the economy ultimately must obey — depends on what kind of finitude matter has.
Resources are practically inexhaustible on cosmic scales; terrestrial limits are engineering.
On this view, matter and time are both unbounded at the largest scales. Terrestrial resource limits are real engineering and political constraints but not metaphysical ones; the cosmos can in principle support whatever expansion intelligence is capable of.
Roads not taken Time goes on but matter is bounded; we are eventually constrained even with infinite time. (47%) · The finitude question is level-dependent; resource ethics happens at the level that constrains us. (26%) · Resources are finite in the strict sense; living well requires accepting the limit. (12%)
4 mainstream positions
Could we owe future generations more than is materially possible to provide? Both time and matter are unbounded; we cannot in principle owe more than is possible. 15% How much weight do future people deserve? Time arises from events or from a deeper substrate — the future is not yet. 32% Is regret rational? The past is not a thing now; regret is the present holding what is no longer. 32% Do we owe extinct species something we cannot give them? Past species no longer exist; what we owe is to the present and the future. 32%

Matter · 7 dilemmas · 3 distinctive

What stuff is — fundamental, relational, or appearance.

Distinctive · only 23% of schools agree (47/202)
Is the world created from nothing?
Creatio ex nihilo is one of the most distinctive Western-theological claims. Whether matter was created from nothing, eternally exists, or is sustained moment-by-moment turns on what kind of thing matter is.
Matter is real but emerges from something deeper — neither bedrock nor created-from-nothing.
On this view, matter is genuinely there, but it isn't the floor of reality. It depends on something more fundamental — dependent origination, mind, divine sustaining act, computational substrate, or the structure of conditions — and is conserved only at its own level of description. …
Roads not taken Yes — matter was created and is conserved as a real substance. (55%) · Matter is constituted by relations; the question of 'from what?' presupposes substance. (16%) · Matter arises and dissolves through cosmic rounds; neither created from nothing nor eternal. (4%)
Distinctive · only 23% of schools agree (47/202)
Is the physical world fully real?
Realists, idealists, and relationalists divide on whether matter exists mind-independently, derivatively, or as a pattern of relations. The split runs deeper than any single scientific question.
Real but sustained — not mind-independent in the strict realist sense.
On this view, the physical world is real enough — it has its own laws, its own conservation principles, its own resistance to wish — but it is not the floor of being. It is sustained by something else: mind, divine attention, computational substrate, or …
Roads not taken Yes — the physical world is fully real, mind-independent, persisting. (55%) · Real as relations — neither pure substance nor pure construction. (16%) · Real for this cycle — the deepest reality cycles through creation and dissolution. (4%)
Distinctive · only 23% of schools agree (47/202)
Does matter have intrinsic moral standing?
Do rocks, soil, rivers, and stuff in general deserve moral consideration — or only the living, the conscious, the human? The answer turns on what matter is.
Matter is morally considerable derivatively — through what it sustains.
On this view, matter doesn't have standing on its own; it has standing through what it makes possible. Soil matters because it grows food; water matters because it sustains life and mind and practice. Asking whether the rock as such has moral standing slightly misreads …
Roads not taken Matter is morally considerable insofar as it is created or conserved good. (55%) · Matter has intrinsic moral standing as part of the relational fabric. (16%) · Matter is in flux; standing is impermanent and ritual-mediated. (4%)
4 mainstream positions
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 · 1 distinctive

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

Distinctive · only 18% of schools agree (37/202)
What happens to "you" when you die?
Whether anything of you persists — and in what sense — depends on what you take a person to be.
You were always a pattern. The pattern propagates.
There was never a "substantial you" to lose. What was real was a pattern of relations — bodily, memorial, social, causal. Those relations don't terminate at the body; they ripple forward through everyone and everything you touched.
Roads not taken A soul continues into another mode of being. (37%) · Death is genuinely the end. (30%) · Individuality dissolves into the One. (8%)
14 mainstream positions
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% 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? Yes — mind is a pattern, not a substrate. 9% Do animals have moral standing comparable to humans? If the pattern of mind is there, the standing is there — regardless of species. 9% Could a fetal brain organoid in a petri dish be conscious? If the pattern is present at sufficient complexity, the experience is present too. 9%
22 unaligned
Are coincidences ever more than coincidence? Schools split: 49% / 37% / 8% — Are the dead morally present to the living? Schools split: 44% / 35% / 13% — Are there indivisible units of experience? Schools split: 44% / 37% / 13% — Can prayer for someone far away affect them? Schools split: 49% / 37% / 8% — Does environmental harm in another country bind me morally? Schools split: 50% / 29% / 12% — Does history have a direction or meaning? Schools split: 37% / 23% / 19% — Does meditation reveal something genuinely timeless? Schools split: 46% / 33% / 13% — Does prayer change God's mind? Schools split: 46% / 33% / 13% — How is knowledge of reality produced? Schools split: 25% / 17% / 13% — If a teleporter copied and destroyed you, would you have survived? Schools split: 36% / 29% / 14% — Is divine omniscience compatible with human freedom? Schools split: 46% / 33% / 13% — Is genetic engineering of food stewardship or domination? Schools split: 48% / 15% / 15% — Is memory stored or reconstructed? Schools split: 44% / 37% / 13% — Is reality fundamentally digital? Schools split: 44% / 37% / 13% — Is salvation, liberation, or fulfillment individual or communal? Schools split: 15% / 14% / 4% — Is the late-stage dementia patient still the person their spouse married? Schools split: 36% / 29% / 14% — Is truth universal, tradition-bound, situated, or constructed? Schools split: 65% / 16% / 10% — Should we colonize space? Schools split: 48% / 15% / 15% — What is our place in nature? Schools split: 48% / 15% / 15% — What kind of religious-theological authority does the tradition recognize? Schools split: 44% / 16% / 14% — What makes someone the same person over time? Schools split: 36% / 29% / 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 lost when a mind forgets; matter and energy continue, but the pattern is gone. 51% Does deleting your data online destroy something real? Information is genuinely lost when the substrate that hosted it goes; deletion really destroys. 51% Could the dead, in principle, be brought back? The information dissipates with the substrate; restoration is in principle impossible. 51% Is forgiveness ontologically possible? The offense is locally constituted by its substrate; when the substrate dissolves, the offense genuinely passes away. 51%
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