Urban Puritano • June 19, 2022

The Challenge of Christian Education: A Reformed Perspective, Part 4

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The Antithesis Confirmed: Language and Math

 

Does Christian Education really pass the curricular stress test?

 

There are other profound questions of human existence children may ask that I would like to bring to your attention. Seventh grade Sarah will ask, “You know…like…where did language and like all that come from?”


Of course, we won’t drop the ball and answer that language is the evolved grunts and growls of evolved primates that help us survive in our environments. Language is the gift of God to Man given to communicate among ourselves and most importantly given for us to have a true knowledge of Him. Therefore, a Christian teacher can appropriately start off the school year telling Sarah and the rest of the students that learning how to express oneself well is a spiritual exercise.


From a biblical standpoint, communication has great dignity. The pertinent Trinitarian consideration in this: even as the Persons of the Trinity have spoken to each other from eternity and from the beginning to us through intelligible utterances, so are we.


It pleased God to reveal His Word to us through a Book with different genres, with poetry, prose, narrative, with all kinds of literary devices to communicate a knowledge of Himself and His works. Respect for language, for the only adequate vehicle for intelligible thought, is to be oriented to a reverence for God since language comes from Him. With this in mind, we guide and encourage our students to learn the parts of speech, to learn proper grammar, to learn the mechanics of language, to read between the lines, to express intellectual creativity and to do all this to display God’s magnificence, to each others edification, and for the advancement of His kingdom.


Now, this doesn’t mean that all our students without exception will become Christian Studs Terkels or Maya Angelous because of our thoughtful efforts. Some will use their academic competencies in the area of Language for downright rebellious, anger-driven, anti-Christian purposes and be successful and influential at it. When that turns out to be the case, we shouldn’t lose heart, but should humbly submit before God’s sovereign will knowing that “Surely the wrath of man shall praise [God].”5


Our confidence is placed in God alone because His wise, holy, and sovereign purposes can’t be thwarted. He is in control. It doesn’t even mean that our students will always write a clear message to put on the refrigerator for that matter. But it does mean that they have been given a basis to appreciate the true worth of their students. It is a worth only Christianity invest in their education.


Whatever the outcome, teachers have said that this along with other areas of study belongs to King Jesus and we have resolved to do nothing less than to fight for His crown rights here and across the curriculum one day at a time, one lesson at a time, one photocopy at a time.


What about mathematics? Surely, mathematics can’t be Christian, can it? Math is neutral, isn't it?


Consider the nature of mathematics for a moment. Take it slow. Bring your presuppositions forward. Your Christian presuppositions. Ready? What follows isn’t a demonstrative proof. I can’t even hope to get too deep. God hasn’t given me the ability to. Perhaps He has given you the knowledge to dig deeper. If so, share your thoughts with me and others for His glory!


I want to share a line of thought that highlights the applicability of God’s Word to the sphere of knowledge we call math.

Rambunctious, fourth grade Johnny is learning his multiplication tables. He will ask his teacher, “Yo, Mrs V., like where does math and numbers and all that come from anyways?”6 Johnny has unwittingly asked his instructor a question concerning a profound problem of human existence.


How should we explain or account for mathematical truth?


If we go to the local bookstore for answers, we’ll encounter two general answers that flow from an approach that is antagonistic towards Christianity. One answer to the problem of where math comes from is that math is the function of brains. This type of book is usually thick because it depends on research, experiments, and theories about consciousness from which inferences are drawn to show that math is literally all in our head. Let’s call this the materialist math answer. The other answer to the problem of where math comes from is that math just is. This type of book is usually thin because it rejects most research and experiments as irrelevant and instead is more analytic about theories and about defining its terms, but fails to ground mathematics on anything transcendent. Let’s call this the mere metaphysical math answer. The former answer is presumptuously wrong while the latter is humbly mistaken. Both approach the dilemma posed by math from non-Christian presuppositions.


Any way you look at it, math is shared reality. After all, Christians and non-Christians alike deposit and withdraw funds from their bank accounts. The difference is, as Reformed apologist Cornelius Van Til wryly stated, that while “Non-believers can count, they cannot account for counting” and the Christian worldview alone provides a rational ground for the properties that everyone attributes, knowingly or unknowingly, to mathematical truth.


Christian teachers can deal with the materialist math answer in two ways. First, we must reject the basic materialist contention that mathematical thinking must be construed as activity in brains instead of the universal, non-physical activity in non-physical minds. Second, we may reveal the major embarrassment in such a materialist math answer. The materialist math answer will grant that mathematical truth is mental, but will define the term mind to mean our brains. Toes wiggle, tongues taste, glands secrete, and brains think mathematics. Any kind of thinking, is reduced to chemical or physiological activity in our literal heads.


Right away, though, the question arises as to how they can justify calling, chemical, physical, or neurological activity either true or false. In redefining mind to mean brain, materialists have denied themselves any possibility of valid argumentation to justify an acceptance of their position. Why? Because physical motions in our heads cannot produce the rationality of a valid argument.


We all agree that mathematical truth is mental, but only propositions (which are non-material) can be the objects of knowledge in minds (which are also non-material). Physiological activity in a brain is just a bodily change. No matter how much we observe and experiment with the brain, we cannot derive propositions to construct an argument from it that warrants our acceptance of the materialist math answer. Materialists, in redefining mind to mean brain, have done Christians a favor in demolishing their own position.


To reduce any mathematical truth as elementary as 2 x 2 = 4 to physical motions in the brain erects other insurmountable problems: (1) No one person can have the same mathematical thought twice since any thought we have is a “fleeting event…distinct from every other” due to its physiological nature (2) No two persons can share the same mathematical thought at all because the juices that flow in one brain are different that the juices that flow in another brain (3) As a consequence of reducing mathematical truth in such a materialist fashion, “memory and communication would both be impossible” since no one could repeat the same thought twice nor could one receive another’s identical thought.


We may end our rejection of the materialist math answer by revealing its major embarrassment. Since Christians would clearly have to be committed to a view of mathematical truth that transcends the material world and the materialist would object, we can simply reply that based on his own terms, “his denial [of our position] must be conceived to exist in his own mind only; and since it has not registered in any other mind, it does not occur to us to refute it”.7


What, then, can we tell Johnny about Math? We can tell him and the rest of the class that mathematical truth exists universally, it exists mentally and not materially, and that our minds are judged by math. In the classroom, teachers only declare whether students have reasoned their way through a problem correctly or not. We don’t manufacture its truth. We aren’t the basis of mathematics. Students sometimes even catch our mistakes at the board and let us know that we haven’t reasoned our way through a problem either. I hate when that happens!


Some years ago, the lives of Enron and Arthur Anderson employees were being affected by omnipresent and unwavering mathematical truth. (Sadly, one of those people, embracing despair, committed suicide because he wanted to avoid being held accountable for his part in mathematical dishonesty).


It is also apparent that mathematical truths defy matter and space because such truths can be present in more than one place. We can also say that mathematical truths defy time because such truths never began nor will ever end. 2 x 2 = 4 was true before any of us was conceived and will be true after we’re long gone.


This is just for starters. 


Because of the difficulties of the materialist math answer, some offer the mere metaphysical math answer. This answer recognizes certain mathematical properties and the inadequate account for them by materialists. Proponents of the mere metaphysical math answer rightly define the term mind to mean something non-physical so as to preserve a consistent basis for memory and communication (remember that one form of communication is sharing a valid argument). These folks stand in awe of the order, beauty, and universality of math and like to talk of the mystery of it all. I tend to think that these proponents don’t have any children because if they did, they might offer a more satisfying answer than one that simply concludes that mathematics is just out there.


Why is mathematics “out there”?


Of course, math neither begins nor ends. Of course, math defies matter, space, and time, but why?


Given the qualities of mathematical truth already mentioned, what else does mathematical truth imply? We can also say that math is unchanging. We can also say that math is superior to any one of our minds and to all human minds. Proponents of the mere metaphysical math answer engage in pedantic analytic discussions of terms and definitions, but are hard pressed to account for mathematics’ immutability or superiority to the human mind. They rightly humble themselves in light of their finiteness. They wrongly humble themselves before mathematics.


They offer no basis for why math is just out there, but they do admit that the foundation for math cannot be something limited or temporary. The foundations of math have to resemble the properties of math. Rejecting the Bible as God’s Word from the start, proponents of the mere metaphysical math answer offer a solution incompatible with allegiance to the all-encompassing Lordship of Christ. Although the Christian parent or Christian teacher might think so, the Lord of heaven and earth doesn't consider mathematical truth neutral territory.


As I see it, our Lord looks upon mathematics and declares, “This is Mine!


Christians can account for mathematics on the basis of the biblical triune depiction of God. If truth exists, including mathematical truth, its basis is God whose attributes are reflected in the properties of math. Is mathematical truth unchanging? God is unchanging. Is mathematical truth eternal? Only because God is. Does mathematical truth defy matter, space, time? So does God because He is Spirit. Is mathematical truth an object of thought in non-physical minds and yet superior to human minds? Well, God’s mind is omniscient knowing all truths. Do we stand in judgment of mathematical truth? Not any more than we stand in judgment of God.


Math is not just out there as a mysterious curiosity of the universe. Math pervades all of our lives because God pervades all of our lives. A Christian’s reflection upon math positions him to stand in awe not of it, but of the tri-personal God of the Scriptures (see Ps. 139: 17-18). Since mathematical truth manifests certain properties consonant with the attributes of God as revealed in His Word of Truth the basis and ground for mathematical truth is that God Himself is Truth (Deut. 32:4, John 14:6 John 16:13—a Trinitarian emphasis on God as truth).


We can lead students through these considerations and they will respond with examples of mathematical truths thought by God on their own. I’ve experienced it during my years as a teacher.


The upshot of these Christian mathematical musings is when any of us learn math, we also get to know something of God’s nature because mathematical truths are the eternal thoughts of God. Others may not believe so, but Christians have a basis for thinking so. Gordon H. Clark maintains, “insofar as man knows anything [as truth, mathematical or otherwise] he is in contact with God’s mind. Since further, God’s mind is God [based on His attribute of simplicity], we may legitimately [though figuratively]…say, we have a vision of God.”8





To be continued...



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By Urban Puritano August 23, 2026
The author of What Is a Reformed Baptist? gives baptism four senses — but the engine is allegory's, and his own confession already ruled on it. Tom Hicks — a confessional Reformed Baptist pastor whose very handle, @TomHicks2LCF, flies the Second London flag — recently offered on X what he weirdly called "the fourfold sense of Christian baptism." Four numbered senses, each pinned to a medieval label: immersion as a sign of union with Christ (literal); a sign of Christ's death and resurrection (allegorical); a sign of the believer's death to self and new life (tropological); a sign of the believer's passing from this world into the next (anagogical). Patrick Schreiner — author of The Four Senses of Scripture, the most prominent recent case for recovering the quadriga — welcomed it: a smile emoji and a "thank you" GIF. The gesture is light. It is also telling, and it is why this small thread from X repays a longer look. The author of the retrieval's flagship book has just cheered the fourfold method as it steps off the page. What was a claim about how biblical texts mean is now applied, with the movement's blessing, to how a sacrament means. I want to be careful not to pay this the wrong compliment. One could call the post creative and mean it warmly. It seems as if many confessional Reformed Baptists do. But the creativity is the whole problem, not a mitigating grace. A hermeneutic is a discipline: it constrains what a thing may be taken to mean and tells you when you have gone wrong. A heuristic is a generator: it prompts you to produce, and it never runs dry. The fourfold scheme, turned on baptism, constrains nothing. It generates — four slots, and an invitation to fill them. That a godly and able pastor can fill them so readily is not evidence the method works; it is evidence of what the method is. A scheme that can find its four senses in a text, in an ordinance, in a hymn, in a handshake, is not discovering four senses in any of them. It is running its apparatus, which will always yield four, because yielding four is what it was built to do. Not a bug — the feature. There is a name for the faculty at work. Pareidolia is the mind's readiness to see a face where there is only cloud; apophenia, its broader cousin, is the readiness to see connection where nothing is in fact connected. The quadriga laid over a sacrament is apophenia in its Sunday clothes — the familiar fourfold silhouette projected onto a subject that never asked for it. Baptism is not a text with a literal sense and three spiritual ones stacked above it. It is one sign, and it signifies richly: union, death and resurrection, new life, the hope of glory — all of it whole and undivided in a single thick redemptive-historical reading of the texts that give it (Rom. 6:3–5; Col. 2:12; 1 Pet. 3:21). Sorting that one meaning into four medieval bins does not enrich the meaning. It multiplies the bins. And then the thread did the argument's work for it. A reader, Mark Harrelson, noticed a gap: "5. For remission of sins. You missed that one." The fourfold scheme had left out something the Nicene Creed itself confesses of baptism — and a fifth item is an awkward thing to hand a fourfold sense. Hicks's answer has real theological content, and none of it is wrong: Christ procures remission at the cross, faith is the hand that receives it, and baptism asserts and confirms it to the believer. Hold that sacramentology; it is sound. Then watch what the method makes him do with it. Remission, he said, is "contained in the allegorical sense." The four senses did not produce remission; challenged, they absorbed it, folding a fifth doctrine into a slot already holding another. That is not a fourfold reading yielding its riches. It is an elastic container stretching to swallow whatever the objection supplies. If the allegorical sense can take on remission after the fact — remission, which has no quarrel with the "death and resurrection" already sitting in that bin — then the "senses" are not distinct compartments of meaning the sacrament yields. They are labels roomy enough to relabel. Press them and they expand; and a scheme that expands on demand has stopped dividing anything at all. Remission was never a missing fifth sense. It was already inside the one meaning of baptism, exactly where union and new life and hope already were. The category error is the surface. The deeper problem is confessional — and here the irony turns tragic. And the tragedy is only multiplied by however many Reformed Baptists it influences to downplay or contradict the this foundational confessional hermeneutic. Hicks is no bystander to the Second London; he wrote the book on it. In What Is a Reformed Baptist? he argues that Reformed Baptist identity is confessional identity — that to be a faithful Reformed Baptist is to hold the historic confessions, and the Second London above all. The man who taught a generation that being Reformed Baptist means holding this confession has now read baptism in a way the confession forecloses. He cannot wave the objection off, because it is his own standard, in his own book, that raises it. The Second London, with Westminster, declares that the true and full sense of any Scripture "is not manifold, but one." Those four words do logical work. "Not manifold" is a denial — not a ranking, not a subordination, but a denial — of multiple senses as such. It denies the genus. And the quadriga, a theory of four senses, is the most prominent species of that genus. The denial of a genus necessarily contains the denial of its species: deny that Scripture's sense is manifold, and you have denied, in the same breath, the fourfold scheme that is manifoldness's flagship. To confess 1.9 is to have already declined the quadriga — and having declined it for texts, one has declined it for whatever else the fourfold silhouette gets projected onto next. This is no novel reading of the phrase. It is the plain force of "not manifold," and it is how the confessional tradition treated the question. Tyndale, Perkins, Whitaker, Leigh, and Turretin did not say the spiritual senses must be kept subordinate to the literal. They said Scripture has one sense. The men who wrote "not manifold, but one" were denying multiplicity, not tidying it into a hierarchy. The confession does not only deny; it directs. Having called the true and full sense "not manifold, but one," the same paragraph says how the one sense is found: it "must be searched and known by other places that speak more clearly" — Scripture set beside Scripture, read under the analogy of faith. That is the confessional method for establishing a doctrine's full meaning, baptism included: not four bins to be filled, but the gathering of every text that bears on the sign into one coherent teaching. Remission belongs to the doctrine of baptism not because it can be tucked into an allegorical slot, but because Scripture, searched and known — Acts 2:38 beside Romans 6, and the creed's "one baptism for the remission of sins" — teaches it as part of the one thing baptism signifies. The analogy of faith is intertextual, not fourfold. What was offered under the name of depth is a medieval grid standing in for the confession's own method — and standing in for it poorly, since the grid had no slot for remission until someone pointed out the lack. There is a stock reply that this is simply not what the Confession means. But asserting that "not manifold, but one" leaves room for other distinct senses is not an argument; it is the very thing to be shown, and it owes three unpaid debts: an alternative reading of the actual words "not manifold, but one"; historical evidence that the framers meant to leave a door open for distinct senses; and some account of the genus–species relation on which a man may deny multiple senses and keep four of them. Until those are produced, the four words stand. So — allegorist? Not by conviction. Despite recommending allegory to frame a spiritual sense for the doctrine of baptism, Hicks would reject the label, and the confession he wrote a book to commend rejects it for him. The charge was never that he holds allegory's creed. It is that he has borrowed allegory's engine and set it running against the very standard he taught the churches to keep. The soft retrieval of the quadriga keeps arriving at the same wall, and it arrives now in a new field. Whether the fourfold sense is offered for a passage or for the ordinance of baptism, the confessional verdict does not move. The waters are rich — rich with union, death, resurrection, new life, remission, and the hope of passing through the last judgment into glory. But that is the fullness of one sense, not the sum of four. There is a leaven here, and it is spreading. The manifold sense of Scripture, long resisted among Baptists, has unfortunately found a welcome among some Reformed Baptist pastors and seminary professors — and now it has jumped the tracks a second time, from the senses of a text to the senses of a doctrine. A fourfold sense of baptism today; a fourfold sense of the Supper, the church, the covenants tomorrow. Each step is greeted as recovery, as depth. But none of it is the confessional framing of the analogy of faith, and a little leaven leavens the whole lump. What spreads here is not a retrieval. It is a grid mistaken for a method, and a fad mistaken for a tradition. It may be someone's tradition. But not ours. Heuristic, not hermeneutic. Not manifold, but one. We distinguish. POST SCRIPT... Pastor Tom kindly unblocked me and replied to my X article: "Thank you for the post and the generous interaction. Allegory in the medieval usage was often severed from the meaning of the text and generated fresh meaning independent of the what the Word of God actually said. When the Reformers opposed allegory, that is what they opposed. But at other times, the Reformers employed allegory, but only when it was anchored in the one meaning of the text. Benjamin Keach was a faithful English Particular Baptist pastor who signed the Second London Confession of Faith. He wrote a massive interpretive tome titled Tropologia in which he proceeded to open the allegorical/typological, metaphorical, and tropological senses of Scripture. You can research it using AI and Google. He did not believe the one sense of Scripture is limited to the literal sense but expanded to typology and allegory and tropology. The same method of interpretation is evident from the preaching of Charles Spurgeon (often maligned by literalists). But these Reformed Baptist brethren didn't see any conflict with our venerable confession because there isn't any. It is found throughout our Reformed and Particular Baptist heritage. Tolle lege. The procedure of looking for the meaning of the text, how it points to Christ, how to apply it, and how it gives us hope for the future, arises from studying the way that Jesus and the apostles themselves studied the Bible. While I don't have space to work it out fully here, consider just one example from the author of Hebrews which is Paul, in case you were wondering. :) See Hebrews 12:5-6 and the manner in which the preacher handles the biblical interpretation of Prov 3:11-12. Context shows a fourfold sense. First, there is the plain sense. This is the truth that God trains or disciplines His sons. Second, there is the Christ-centered sense. God led Christ to the cross (Heb 12:2), and Christ learned obedience through suffering (Heb 5:8). He did this for us as our substitute and example. Third, there is the applied sense. God loves us, Christ teaches us how to suffer in love; therefore, in light of Christ, we can embrace suffering and persevere in love without becoming weary or fainthearted, knowing we are being made like Christ (Heb 12:11). Fourth, there is the final or heavenly sense. The goal of our training in sanctification is ultimately to see the Lord (Heb 12:14). Many other such examples of the Bible's interpretation of the Bible in this way could be shown. There is only one sense of the text. But that one sense is often though not always multilayered with many necessary implications." To which I replied: "Appreciate you for unblocking me to exchange replies. While some people decry this app, i find you get what you invest in it. Your input is greatly appreciated. I understand you may write more wherever you choose is best. My good faith yet pointed response will be a short list of where I consider you unhelpfully and sloppily blurring the lines logically, biblically, and confessionally: The first and most obvious: the 4fold sense as a tool for reading texts, versus interpreting a doctrine (e.g., baptism). A figure of speech, versus a second sense. Typology, versus invented allegory. Preaching a text, versus interpreting a text. Rejecting a method’s abuses, versus rejecting the method; illicit to overlay even the quadriga’s structure on our confession. And a big one: the implications of one meaning, versus four different senses or meanings." Please, stay tuned and be on the lookout for an episode of the Urban Puritano Podcast for a discussion of these issues.
By Roberto Gazga August 9, 2026
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By Urban Puritano August 8, 2026
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