THE KURT GÖDEL SERIES, OR THE WAY OF THE FAQIR

To date, about 70 paintings – most of them quite small – have been completed as part of the Kurt Gödel series (begun in 2015 and ongoing as of 2025). It is comprised of these earlier groups: Three Prolegomena to the Kurt Gödel series; the Incomplete subseries; the subseries A Time-Based Linguistics; the subseries Six Śramana in the Pāli Canon; the Veiled [Meaning] subseries; the Superimposed Interiors subseries; the subseries Alone in Her Palinopsia; the Second Palimpsest subseries; the Non-Object / Non-Objective subseries; and the Three Afterthoughts on the Kurt Gödel series.

Prolegomenon 1. The Faqir: Gödel in Youth, 2022 or 2023. Watercolor on paper, 4 x 6 inches

Prolegomenon 2. The Yogi: Gödel in His Middle Years, 2023. Watercolor, oil, ink, and acrylic on paper, 2 x 4 inches

Prolegomenon 3. The Monk: Gödel’s End (for Gina: a forgotten Bolto miniature), 2023. Watercolor, oil, ink, and acrylic on paper, 2 x 4 inches

1. Composition: Showing the Diagonal Character of Gödel’s Arguments (orig. the Incomplete subseries No. 1), 2017. Watercolor, acrylic, oil, ink, plaster, lacquer on paper, 4 x 6 inches

2. Composition: Demonstrating Inherent Limitations of a Formal Axiomatic System Capable of Modeling Basic Arithmetic (orig. the Incomplete subseries No. 2), 2017, 2022. Watercolor, oil, acrylic, lacquer on paper, altered digitally.

3. Composition: Showing the Inadequacy of Hilbert’s Program (orig. the Incomplete subseries No. 3), 2022. Watercolor, oil, acrylic, lacquer on paper, 4 x 6 inches

4. Composition: Showing that All Algorithms Fail before the Universe of the Natural Numbers (orig. the Incomplete subseries No. 4), 2022. Digital image, no dimensions.

5. Composition; Showing that, Though True, They Are Unprovable (orig. Incomplete subseries No. 5), 2022. Watercolor, oil, acrylic, graphite, lacquer on paper, 4 x 6 inches

6. Composition: Proving the Core Weakness of All Formal Systems (orig. Incomplete subseries No. 6), 2022. Watercolor, oil, acrylic, lacquer on paper

7. Composition: Supporting Tarski’s Theorem on the Formal Undefinability of Truth (orig. Incomplete subseries No. 7), 2022. Watercolor, oil, acrylic, lacquer on paper, 4 x 6 inches

8. Composition: On Church’s Proof of the Unsolveability of the Entscheidungsproblem (Decision-Making) (orig. Incomplete subseries No. 8), 2022. Watercolor, oil, acrylic, lacquer on paper, 4 x 6 inches

9. Composition: Supporting Turing’s Demonstration of the Nonexistence of an Algorithm to Solve the Halting Problem (orig. Incomplete subseries No. 9), 2022. Watercolor, oil, acrylic, lacquer on paper, 4 x 6 inches (gift to Paul Deuter)

10. Composition: Supporting Tolksdorf and Verch’s Demonstration that Deutsch's Fixed-point Condition for a Closed Timelike Curve Can Be Fulfilled to Arbitrary Precision in Any Quantum System Described According to Relativistic Quantum Field Theory on Spacetimes Where Closed Timelike Curves Are Excluded, Casting Doubts on Whether Deutsch's Condition Is Really Characteristic of Quantum Processes Mimicking Closed Timelike Curves in the Sense of General Relativity (orig. Incomplete subseries No. 10), 2022. Watercolor, oil, acrylic, lacquer on paper, 4 x 6 inches

11. A Gödel Metric (orig. A Time-Based Exolinguistics subseries, No. 1), 2017. Watercolor, oil, acrylic, graphite, ink, and lacquer on paper, 2 1/2 x 4 inches

12. A Small Study in Exolinguistics (orig. A Time-Based Exolinguistics subseries, No. 2), March 26, 2017. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper, 2 1/2 x 4 inches

13. A Corollary of the Sapir-Whorf Hypothesis (orig. A Time-Based Exolinguistics subseries, No. 3), March 25, 2017. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper, 5 x 7 inches

14. A Small-Scale Temporal Paradox (orig. A Time-Based Exolinguistics subseries, No. 4), March 25, 2017. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper, 5 x 7 inches

15. A  Heptadecagonal Logogram (orig. A Time-Based Exolinguistics subseries, No. 5), March 28, 2017. Gift to Gina. Watercolor, oil, acrylic, lacquer on paper, 2 1/2 x 3 1/2 inches

16. Novikov’s Self-Consistency Principle (destroyed; orig. A Time-Based Exolinguistics subseries, No. 6), date not recorded. Compressed charcoal, chalk, and graphite on paper

17. Fermat’s Principle of Least Time (orig. A Time-Based Exolinguistics subseries, No. 7), date unrecorded. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper

18. A Non-Zero-Sum Game (orig. A Time-Based Exolinguistics subseries, No. 8), 2017. Watercolor, oil, acrylic, and lacquer on paper (dimensions not recorded)

19. A Closed Causal Loop (orig. A Time-Based Exolinguistics subseries, No. 9), 2017, 2021. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper (dimensions not recorded)

20. A Boot-Strap Paradox (orig. A Time-Based Exolinguistics subseries, No. 10), 2022. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper, 4 x 2 inches

21. Another Ontological Paradox (date and dimensions unrecorded; given away, no photograph of the final version). Watercolor on paper

22. Polchinski's Paradox Observed at Ground Level, Presented as a Landscape (orig. A Time-Based Exolinguistics subseries, No. 12), 2017. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper, dimensions unrecorded

23. A Second Study in Exolinguistics (orig. A Time-Based Exolinguistics subseries, No. 13), 2017. Watercolor, acrylic, oil, graphite, ink, and lacquer on paper, 3 x 5 inches

24. A Stress-Energy Tensor (orig. A Time-Based Exolinguistics subseries, No. 14), June 1, 2017. Watercolor, oil, acrylic, lacquer, graphite and ink on paper, 4 x 6 inches

25. Une Onde gravifique Pointcaré (orig. A Time-Based Exolinguistics subseries, No. 15), 2022. Watercolor, oil, acrylic, plaster, graphite, and ink on paper, 4 x 6 inches

25a. A Lamdavacuum Solution (orig. A Time-Based Exolinguistics subseries, No. 16), 2021. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper (dimensions not recorded)

26. Purana Kassaba – Amoralism (No. 1 in the subseries Six Śramaṇa in the Pāli Canon), 2023. Watercolor and ink on paper, 4 x 6 inches

27. Makkhali Gośāla, Ājīvika - Fatalism (No. 2 in the subseries Six Śramaṇa in the Pāli Canon), 2023. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper, 4 x 6 inches

28. Ajita Kessakambalī, Lokāyata - Materialism (No. 3 in the subseries Six Śramaṇa in the Pāli Canon), 2023. Watercolor and ink on paper, 4 x 6 inches

29. Pakudha Kaccāyana Sassatavada – Eternalism (No. 4 in the subseries Six Śramaṇa in the Pāli Canon), 2023. Watercolor and ink on paper, 4 x 6 inches

30. Nigantha Nāgaputta Jainism - Restraint (No. 5 in the subseries Six Śramaṇa in the Pāli Canon), 2023. Watercolor and ink on paper, 4 x 6 inches.

31. Sañjaya Belatthiputta, Ajñana - Agnosticism (No. 6 in the subseries Six Śramaṇa in the Pāli Canon), 2021 and 2023. Watercolor and ink on paper, 4 x 6 inches.

32. The Sudarium of Oviedo (No. 1 in the Veiled [Meaning] subseries, also Wait and Hope, No. 1 in the Château d'If series), 2021 and 2023. Watercolor, oil, acrylic, lacquer, graphite and ink on paper, 4 x 6 inches

33. The Veil of Veronica (No. 2 in the Veiled [Meaning] subseries), 2023. Watercolor and ink on paper, 4 x 6 inches

34. Another Sudarium Found in Altmünster, Germany, Supposedly Given to St Bilihildis, Locally Venerated Since the 15th Century (No. 3 in the Veiled [Meaning] subseries), 2023. Watercolor, oil, acrylic, lacquer, and ink on paper, 4 x 6 inches

35. Maniple (No. 4 in the Veiled [Meaning] subseries), 2023. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper

36. Manipulus (No. 5 in the Veiled [Meaning] subseries), 2023. Ink and watercolor wash on paper, 4 x 6 inches

37. Mantile (No. 6 in the Veiled [Meaning] subseries), 2023. Waterolor and ink on paper, 4 x 6 inches

38. Fano (for Gina), orig. Veiled [Meaning] subseries No. 7), date unrecorded. Watercolor and graphite on paper, 4 x 6 inches

39. Manuale (No. 8 in the Veiled [Meaning] subseries), 2023. Watercolor and ink on paper, 4 x 6 inches

40. Sestace (No. 9 in the Veiled [Meaning] subseries), 2021. Watercolor, oil, acrylic, lacquer, graphite, and ink on paper

41. The Ancient Greek Epigonation (No. 10 in the Veiled [Meaning] subseries), 2023. Watercolor, oil, acrylic, plaster, lacquer, graphite, and ink on paper

42. The Earlier Ancient Greek Encheirion (No. 11 in the Veiled [Meaning] subseries), 2023. Watercolor, oil, acrylic, plaster, lacquer, graphite, and ink on paper.

43. A vestment, in liturgical use from the 12th century, reserved for the bishop (No. 12 in the Veiled [Meaning] subseries), 2023. Watercolor, oil, acrylic, lacquer, plaster, graphite, and ink on paper

44. The Subcinctorium, Another Ornamental Vestment Reserved for the Pope (No. 13 in the Veiled[Meaning] subseries No.13), date unrecorded (probably 2023). Watercolor, oil, acrylic, lacquer, graphite, and ink on paper

45. The Humeral Veil (No. 14 in the Veiled [Meaning] subseries), 2020. Digital drawing, no dimensions

46. The Vimpa – A Veil or Shawl Worn Over the Shoulders of Servers Who Carry the Mitre and Crosier in Liturgical Functions When They Are Not Being Used by the Bishop (No. 15 in the Veiled [Meaning] subseries), 2020. Digital drawing, no dimensions

47. The Pannisselus - A Cloth Suspended from the Crozier at the Place Where the Bishop Would Grasp It, Still Depicted in Ecclesiastical Heraldry and Used by Cistercian Abbots (No. 16 in the Veiled [Meaning] subseries), 2020. Digital painting, no dimensions

48. The Veil Used by the Subdeacon to Hold the Paten (No. 17 in the Veiled [Meaning] subseries), 2020. Digital painting, no dimensions

49. A Pall(a), or Forerunner, of the Chalice Veil, the Ends of Which Are Thrown Over the Right Shoulder (No. 18 in the Veiled [Meaning] subseries), 2020. Digital painting, no dimensions

50. The Palla, Also Called a Mappula (No. 19 in the Veiled [Meaning] subseries), 2020. Digital painting, no dimensions

51. In Reference to the Term Sudra (סודרא), for a Headdress in Judaism – A Loan from the Latin Term (No. 20 in the Veiled [Meaning] subseries), 2023. Ink, watercolor wash, oil, acrylic, and lacquer on paper, 4 x 6 inches

52. A Muon-Neutrino Bubble-Chamber Experiment - Fermilab, 1978 (No. 1 [of 1] in the Alone in Her Palinopsia subseries), 2023. Watercolor, ink, oil, acrylic, and lacquer on paper, 4 x 6 inches

53. A Favored Pergamene of Kent (No. 1 [of 1] in the Second Palimpsest subseries), 2023. Ink on paper, 2 x 4 inches

54. The Spectral Power Distribution of a Radiant Exitance (No. 1 in the Illuminous subseries), 2024. Watercolor, ink, oil, acrylic, and lacquer on paper, 3 1/2 x 2 1/2 inches

55. A Fulsome Radiant Existence (No. 2 in the llluminous subseries), 2024. Watercolor, oil, acrylic, ink, and lacquer on paper, 4 x 6 inches

56. Radiant Energy (No. 3 in the Illuminous subseries), 2024. Watercolor, oil, acrylic, ink, and lacquer on paper, 3 1/2 x 5 1/2 inches

57. Radiance (No. 4 in the Illuminous subseries), 2024. 3 1/2 x 5 1/2 inches

58. Radiant Flux (No. 5 in the Illuminous subseries), 2025. Watercolor, oil, acrylic, and lacquer on paper, 3 1/2 x 5 1/2 inches

69. Absorbance (No. 6 in the Illuminous subseries), 2024. Watercolor, oil, acrylic, and lacquer on paperboard, 8 x 10 inches

72. An Anomaly Along the Nominal Symmetry Axis (No. 2 in the Five Formal Arrangements subseries), 2023. Watercolor, oil, acrylic, ink, and lacquer on paper, 3 1/2 x 6 inches

73. The Cones Tip Forward and Widen (No. 3 in the Five Formal Arrangements subseries), 2025. Watercolor, oil, acrylic, ink, and lacquer on paper, 3 1/2 x 5 1/2 inches

76. The Non-Object Within (No. 1 in the Non-Object/Non-Objective subseries), 2024. Watercolor, oil, acrylic, ink, and lacquer on paper, 3 1/2 x 2 1/2 inches

78 (formerly No. 54). Relations With Other Logical Operators (No. 3 in the Non-Object/Non-Objective subseries), 2023. Watercolor, oil, acrylic, ink, and lacquer on paper, 6 x 4 inches

Afterhought 1. A Definition of an Anonymous Function that is Capable of Taking a Single Input x and Substituting It into the Expression t, 2023. Watercolor, oil, acrylic, ink, and lacquer on paper, 4 x 6 inches

Afterhought 2 A Function With an Abstraction that Merely 'Sets Up' the Function but Does Not Invoke It, 2023. Watercolor, oil, acrylic, ink, and lacquer on paper, 4 x 2 inches

Afterthought 3 A Gödel Lambda Dust Solution, 2024. Watercolor, oil, acrylic, graphite, and lacquer on paper, 3 1/2 x 2 1/2 inches