Gustavo Esparza, Ph.D. (2015), Universidad Autónoma de Aguascalientes, México. His research focuses on the thought and impact of Ernst Cassirer. He has co-authored the books: Mito, conocimiento y acción. Continuidad y cambio en los procesos culturales (2017); The Bounds of Myth. The Logical Path from Action to Knowledge (2021) and Ernst Cassirer. La unidad simbólica de la cultura (2024). He is also the author of more than 20 articles on the subject of Cassirer, a member of the S.N.I.I., level I, and a professor in the UP system, level C.

• AcknowledgementsAbbreviationsIntroduction1 The Unity of the Material and Spiritual World1 Unity and Multiplicity: towards a Definition of Philosophical Tasks1.1 The Cassirer–Marc-Wogau Debate: Unity and Form of the Symbol1.2 Reception and New Objections to the Cassirer–Marc-Wogau Debate2 Location and Grouping of the Singular: Geometric Invariants3 The Universal Perception of the Singular: Methodological Dilemmas2 René Descartes: the Glimpse of Function as a Methodological Unit of Knowledge1 The Geometrical Unity of Substances in the Natural Sciences2 Methodological Gap and Continuity between the Natural and Human Sciences3 The Delimitation of Infinity and the Problem of Fundamentals3 Gottfried Leibniz: Law and Form as the Foundations of the Symbol1 The Unity of the Multiple: Law and Number2 Representation as Harmony of the Diverse4 Logic of Invariant Relations1 The a Priori Foundation of Knowledge2 Theories of Invariant Forms: Logical Elements2.1 Meaning and Intent of Relational Concepts2.2 Form and Structure of Knowledge: Number and Space2.3 Ideal Construction of Scientific Concepts5 Psychology of Invariant Relations1 Science as a Psychological Model of Knowledge2 Psychology of Invariant Relations6 The Universal Form of the Singular: towards the Philosophy of Symbolic Forms1 The Diversity of Unity: Form and Freedom2 Philosophy of Symbolic: an Early Draft of a Major ProjectConclusion: The Universal Function of the SingularBibliographyIndex

Gustavo Esparza, Ph.D. (2015), Universidad Autónoma de Aguascalientes, México. His research focuses on the thought and impact of Ernst Cassirer. He has co-authored the books: Mito, conocimiento y acción. Continuidad y cambio en los procesos culturales (2017); The Bounds of Myth. The Logical Path from Action to Knowledge (2021) and Ernst Cassirer. La unidad simbólica de la cultura (2024). He is also the author of more than 20 articles on the subject of Cassirer, a member of the S.N.I.I., level I, and a professor in the UP system, level C.

• AcknowledgementsAbbreviationsIntroduction1 The Unity of the Material and Spiritual World1 Unity and Multiplicity: towards a Definition of Philosophical Tasks1.1 The Cassirer–Marc-Wogau Debate: Unity and Form of the Symbol1.2 Reception and New Objections to the Cassirer–Marc-Wogau Debate2 Location and Grouping of the Singular: Geometric Invariants3 The Universal Perception of the Singular: Methodological Dilemmas2 René Descartes: the Glimpse of Function as a Methodological Unit of Knowledge1 The Geometrical Unity of Substances in the Natural Sciences2 Methodological Gap and Continuity between the Natural and Human Sciences3 The Delimitation of Infinity and the Problem of Fundamentals3 Gottfried Leibniz: Law and Form as the Foundations of the Symbol1 The Unity of the Multiple: Law and Number2 Representation as Harmony of the Diverse4 Logic of Invariant Relations1 The a Priori Foundation of Knowledge2 Theories of Invariant Forms: Logical Elements2.1 Meaning and Intent of Relational Concepts2.2 Form and Structure of Knowledge: Number and Space2.3 Ideal Construction of Scientific Concepts5 Psychology of Invariant Relations1 Science as a Psychological Model of Knowledge2 Psychology of Invariant Relations6 The Universal Form of the Singular: towards the Philosophy of Symbolic Forms1 The Diversity of Unity: Form and Freedom2 Philosophy of Symbolic: an Early Draft of a Major ProjectConclusion: The Universal Function of the SingularBibliographyIndex

Gustavo Esparza, Ph.D. (2015), Universidad Autónoma de Aguascalientes, México. His research focuses on the thought and impact of Ernst Cassirer. He has co-authored the books: Mito, conocimiento y acción. Continuidad y cambio en los procesos culturales (2017); The Bounds of Myth. The Logical Path from Action to Knowledge (2021) and Ernst Cassirer. La unidad simbólica de la cultura (2024). He is also the author of more than 20 articles on the subject of Cassirer, a member of the S.N.I.I., level I, and a professor in the UP system, level C.

• AcknowledgementsAbbreviationsIntroduction1 The Unity of the Material and Spiritual World1 Unity and Multiplicity: towards a Definition of Philosophical Tasks1.1 The Cassirer–Marc-Wogau Debate: Unity and Form of the Symbol1.2 Reception and New Objections to the Cassirer–Marc-Wogau Debate2 Location and Grouping of the Singular: Geometric Invariants3 The Universal Perception of the Singular: Methodological Dilemmas2 René Descartes: the Glimpse of Function as a Methodological Unit of Knowledge1 The Geometrical Unity of Substances in the Natural Sciences2 Methodological Gap and Continuity between the Natural and Human Sciences3 The Delimitation of Infinity and the Problem of Fundamentals3 Gottfried Leibniz: Law and Form as the Foundations of the Symbol1 The Unity of the Multiple: Law and Number2 Representation as Harmony of the Diverse4 Logic of Invariant Relations1 The a Priori Foundation of Knowledge2 Theories of Invariant Forms: Logical Elements2.1 Meaning and Intent of Relational Concepts2.2 Form and Structure of Knowledge: Number and Space2.3 Ideal Construction of Scientific Concepts5 Psychology of Invariant Relations1 Science as a Psychological Model of Knowledge2 Psychology of Invariant Relations6 The Universal Form of the Singular: towards the Philosophy of Symbolic Forms1 The Diversity of Unity: Form and Freedom2 Philosophy of Symbolic: an Early Draft of a Major ProjectConclusion: The Universal Function of the SingularBibliographyIndex