Foundations of Science最新文献

{"title":"Is Kant’s Transcendental Logic a Logic?","authors":"Andrew Schumann","doi":"10.1007/s10699-026-10048-1","DOIUrl":"https://doi.org/10.1007/s10699-026-10048-1","url":null,"abstract":"","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148884002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Third Story of the Universe: Self-organizing Evolution As a Source of Meaning","authors":"Francis Heylighen, Shima Beigi, Clément Vidal","doi":"10.1007/s10699-026-10046-3","DOIUrl":"https://doi.org/10.1007/s10699-026-10046-3","url":null,"abstract":"","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"349 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148883526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Turing’s Unresolved Tension","authors":"Carlo Cellucci","doi":"10.1007/s10699-026-10047-2","DOIUrl":"https://doi.org/10.1007/s10699-026-10047-2","url":null,"abstract":"","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"5 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148883530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Emergent Materialism and the Nature of Natural Laws","authors":"Gustavo E. Romero, Javier Pérez-Jara","doi":"10.1007/s10699-026-10045-4","DOIUrl":"https://doi.org/10.1007/s10699-026-10045-4","url":null,"abstract":"","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"160 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148429197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Joseph de Mendoza y Ríos and the Philosophy of Precision: Scientific Rationality, Instrumentation, and the Problem of Longitude","authors":"L. Segura-Abad, J. A. Nescolarde-Selva, H. Gash, K. Alonso-Stenberg","doi":"10.1007/s10699-026-10044-5","DOIUrl":"https://doi.org/10.1007/s10699-026-10044-5","url":null,"abstract":"Calculating longitude as precisely as possible is important for navigation and requires resolving issues in relation to position and measurement while the ship is moving. The names of Euler, Bezout, Laplace, and other distinguished mathematicians are linked to studies on this problem. It can be said that in past times, these theoretical and practical problems were as important as they are today. Now cutting-edge technologies and computers are used. The determination of longitude (Throughout this paper, “latitude” and “longitude” referring to the ship’s position are understood as geographical coordinates. When discussing the position of celestial bodies, the corresponding celestial reference system (mainly ecliptic coordinates) is explicitly indicated.) by astronomical means is mathematically a seemingly simple problem of spherical trigonometry. However, its effective resolution required theoretical developments and the design of special instruments for observation and calculation. Within the group of mathematicians who were interested in these problems at the turn of the eighteenth to the nineteenth century, the figure of Joseph de Mendoza y Ríos stands out. This article is concerned with the achievements of this mathematician from Seville who contributed substantially to the solution of the problem of calculating longitude for which he received one of the great prizes awarded by the Board of Longitude in London. His contributions in this area were manifold and cover a broad spectrum of the problems of nautical astronomy. All these elements: design of instruments to capture astronomical information, development of an analytical method, formulation of an approximate calculation procedure, and preparation of auxiliary (supportive) calculation instruments allowing skipping stages in the transition from observation to position data. Mendoza y Ríos In this work, the authors explain the mathematical calculations of determining longitude by means of lunar distances that are due to Joseph de Mendoza y Ríos.","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"58 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148429214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the Shape of Intrinsic Information: A Unified Framework from Dynamical Systems","authors":"Alexandre N. Carvalho, José A. Langa, Fernando Soler-Toscano","doi":"10.1007/s10699-026-10042-7","DOIUrl":"https://doi.org/10.1007/s10699-026-10042-7","url":null,"abstract":"This paper introduces a formal definition of intrinsic information as an inherent property of dynamical systems, characterized by their global topological and geometric structures. Unlike standard approaches that treat information as an epistemic or communication-theoretic tool, we propose that information possesses a specific shape defined by attractors, Morse decompositions, and Lyapunov landscapes. We argue that for any real-world phenomenon, the regularity of measurements on its observables allows for the derivation of a dynamical system whose informational content is objective and measurable. To substantiate this link, we provide concrete applications in ecology and neuroscience, offering specific metrics that quantify organizational complexity. Finally, our framework introduces the idea that information, by expressing itself through formal and geometric shape, acts as a structural constraint with explanatory power. This characterization of intrinsic information enables a rigorous scientific approach to its properties, including measurement, perturbation analysis, and the study of transient and asymptotic dynamics. We position this work as not merely technical, but as a robust research program that offers a new, in-depth perspective on the reality that science addresses across multiple domains.","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"58 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148429198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Limited Math: Aligning Mathematical Semantics with Finite Computation","authors":"Lian Wen","doi":"10.1007/s10699-026-10036-5","DOIUrl":"https://doi.org/10.1007/s10699-026-10036-5","url":null,"abstract":"Classical mathematical frameworks used in the semantics of computation and programming languages are traditionally grounded in idealized abstractions, including infinite-precision numbers, unbounded sets, and unrestricted operations. Concrete computation, however, is intrinsically finite, operating under explicit bounds on precision, memory, and structural resources. This foundational mismatch complicates semantic reasoning about numerical behavior, algebraic properties, and execution in realistic computational settings. This paper proposes <jats:italic>Limited Math</jats:italic> (LM), a bounded foundational framework intended to realign mathematical semantics with the realities of finite computation. Rather than presenting a complete formal theory or establishing meta-theoretical results, LM is introduced as a conceptual foundation in which finiteness is made explicit at the semantic level. Numeric magnitude, precision, and structural complexity are treated as primitive constraints, enforced through a finite numeric domain parameterized by a single bound <jats:inline-formula> <jats:tex-math>$$M$$</jats:tex-math> </jats:inline-formula> and a deterministic value-mapping operator that makes quantization and boundary behavior explicit. Within representable bounds, LM coincides with classical arithmetic; beyond these bounds, deviations are explicit, deterministic, and open to analysis rather than implicit or idealized. By additionally bounding structural constructions such as set cardinality, the framework prevents infinitary assumptions from re-entering through indirect means. The resulting semantics induces finite-state models of computation, offering a principled basis for reasoning about arithmetic, structure, and execution under finite computational constraints and for guiding future formal and technical developments.","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"39 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148286284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Retraction Note: Sarah Barry: A Spiritual Beacon in Modern Korea","authors":"Jong-ok Seok, Moo-jin Jeong, Sang-ho Seon, Jun-ki Chung","doi":"10.1007/s10699-026-10037-4","DOIUrl":"https://doi.org/10.1007/s10699-026-10037-4","url":null,"abstract":"","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"55 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148286290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the Limits of the Complex Systems Paradigm: Reckoning with Entropy, Epistemology, and the Social in the Anthropocene","authors":"Nicholas J. Parlato","doi":"10.1007/s10699-026-10033-8","DOIUrl":"https://doi.org/10.1007/s10699-026-10033-8","url":null,"abstract":"","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"35 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148286288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Correction: Difference That Preserves: From Transcendental Genesis to a Genealogical Foundation of Mathematics","authors":"Andreu Ballús Santacana","doi":"10.1007/s10699-026-10032-9","DOIUrl":"https://doi.org/10.1007/s10699-026-10032-9","url":null,"abstract":"","PeriodicalId":55146,"journal":{"name":"Foundations of Science","volume":"27 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147708624","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}