This paper can be found online here. Note: You may need a subscription to view it. I decided to look at this since it was referenced in a Reddit post/argument that I was examining.
"God, Modalities, and Conceptualism" by Amy Karofsky.
SummaryThe article addresses the classic theistic dilemma regarding God's relationship to modalities (necessity, possibility, and impossibility). The dilemma states: If God determines modalities, He can do anything, rendering "necessity" meaningless; if He does not, His power and freedom are restricted by prior necessary laws (p. 257).
Karofsky examines conceptualism as a proposed solution to this problem. Conceptualism (specifically as articulated by Jonathan Bennett) posits that modalities are determined by what the intellects of a created universe can conceive. Therefore, prior to God creating intellects, there are no modalities, leaving God completely free, yet without the problematic implication that anything is possible for Him, since possibility itself doesn't yet exist (p. 258).
Karofsky argues that conceptualism ultimately fails due to three main objections:
The Concepts of Possibility and Impossibility: To argue that modal concepts change depending on the shape of created intellects, the conceptualist must assume these concepts retain some core features across different worlds. These core features must therefore be necessary and independent of any intellect (p. 264).
Hidden Prior Modalities: The conceptualist relies on terms like "applicability" and "conceivability" to explain the theory. Karofsky points out that these are themselves modal concepts. Thus, the theory circularily grounds modalities in other, prior modalities that exist independent of created minds (p. 265).
Restrictions on God: Conceptualism actually binds God to certain necessary meta-rules prior to creation, such as the rule that "if there are modalities, there must be minds" or that "if something is impossible, the intellects cannot conceive of it" (p. 267).
Karofsky concludes by rejecting modal relativism, the idea that modal concepts can be contingent. She argues that the very definition of necessity requires that it cannot be otherwise; grounding necessity in God's arbitrary choice to create specific intellects destroys the concept of absolute necessity entirely (p. 268).
Evaluation
Logical Rigor: Karofsky provides a very sharp, step-by-step deconstruction of Bennett's "applicability argument." Her insight that comparing concepts across different possible worlds requires those concepts to have fixed, necessary features is highly effective (p. 264).
Strong Core Thesis: Her general analysis correctly identifies the fatal flaw in any theory of "modal relativism." By pointing out that a contingent foundation for necessity reduces necessity to mere arbitrariness, she powerfully defends the need for absolute, mind-independent necessities (p. 268-269).
Narrow Target: The paper focuses almost entirely on Jonathan Bennett's specific 1994 defense of conceptualism. While Karofsky briefly claims her arguments apply to all forms of modal relativism, her most detailed logical takedowns are highly tailored to Bennett's specific phrasing, which might leave alternative formulations of conceptualism unaddressed.
Here is how a conservative Christian thinker would systematically refute Karofsky’s argument and her critique of God’s relationship to modalities:
The False Dilemma: Arbitrariness vs. External Restriction
Karofsky argues that if God determines modalities (necessity and possibility), His choices are merely arbitrary. If they are not arbitrary, she argues, He must be bound by absolute necessities that exist independently of Him.
A conservative Christian would argue this is a false dilemma. Historically, Christian philosophers (like Augustine and Thomas Aquinas) resolve this by arguing that logic, math, and moral laws are neither arbitrary inventions of God’s will, nor independent rules that sit "above" God. Rather, necessities are grounded in God's unchanging, perfectly rational nature. When God acts, He does not act arbitrarily; He acts in perfect accordance with His own character.
The fact that 2+2=4, or that contradictory statements [A = B, and A ≠ B] cannot both be true, is not a standard God "invented," but a reflection of His own internally consistent, orderly mind.
Karofsky spends much of her paper dismantling Jonathan Bennett's specific version of conceptualism, which grounds modalities in the shape of created (human) intellects. A conservative Christian might actually agree with Karofsky here: human minds do not dictate what is absolutely true or necessary.
However, the Christian worldview posits the Divine Intellect.
- Modalities are not dependent on what we can conceive, but on what God knows eternally.
- Karofsky suggests that prior to creation, "if there are modalities, there must be minds." A Christian agrees, but points to the eternal Mind of God. Logic and necessity have always existed because God has always existed. They are not independent cosmic laws; they are the thoughts of God.
The conservative Christian worldview refutes this specific definition of omnipotence. Omnipotence does not mean the ability to do the logically impossible (like creating a married bachelor or making a square circle). As C.S. Lewis famously noted, nonsense does not cease to be nonsense just because we put the words "God can" in front of it.
- God’s inability to do the impossible (or to sin, or to lie) is not a lack of power, but a manifestation of His supreme perfection.
- As 2 Timothy 2:13 states, "he cannot deny himself." God is genuinely free, but He is perfectly free to be precisely who He is: a maximally great, rational being.
Karofsky concludes that there are absolute necessities "prior to God's creative action." If she simply means logically prior to the act of creating the universe, Christians agree. But if she means ontologically prior to God Himself, meaning God looked up at an eternal law of mathematics to figure out how to build the universe, the Christian strictly rejects this.
The doctrine of Divine Aseity states that God is the source of all reality. Colossians 1:16 states that "by him all things were created." If abstract objects or absolute necessities exist independently of God, then God is not the creator of all things, and He is a subordinate being to those necessities.
Summary of the Refutation:
Karofsky successfully defeats the idea that God arbitrarily invents logic and the idea that human minds determine reality (Bennett's Conceptualism). However, she fails to account for the classical Christian synthesis: that absolute necessity exists eternally within the mind and nature of God Himself, leaving Him entirely sovereign, rational, and unconstrained by any external force.